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Finding the Fourth Proportional to 690.87, 953.23 and 411.19

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Solution

The fourth proportional to 690.87, 953.23 and 411.19 is: 567.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.87 : 953.23 = 411.19 : x
  2. Step 2: Convert to fraction form
    690.87/953.23 = 411.19/x
  3. Step 3: Cross multiply
    690.87x = 953.23 × 411.19
  4. Step 4: Simplify right side
    690.87x = 391,958.64
  5. Step 5: Solve for x
    x = 391,958.64/690.87
  6. Step 6: Final answer
    x = 567.34

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.