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Finding the Fourth Proportional to 690.79, 953.28 and 411.16

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Solution

The fourth proportional to 690.79, 953.28 and 411.16 is: 567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.79 : 953.28 = 411.16 : x
  2. Step 2: Convert to fraction form
    690.79/953.28 = 411.16/x
  3. Step 3: Cross multiply
    690.79x = 953.28 × 411.16
  4. Step 4: Simplify right side
    690.79x = 391,950.60
  5. Step 5: Solve for x
    x = 391,950.60/690.79
  6. Step 6: Final answer
    x = 567.39

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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.