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Finding the Fourth Proportional to 690.69, 953.10 and 411.02

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Solution

The fourth proportional to 690.69, 953.10 and 411.02 is: 567.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.69 : 953.10 = 411.02 : x
  2. Step 2: Convert to fraction form
    690.69/953.10 = 411.02/x
  3. Step 3: Cross multiply
    690.69x = 953.10 × 411.02
  4. Step 4: Simplify right side
    690.69x = 391,738.40
  5. Step 5: Solve for x
    x = 391,738.40/690.69
  6. Step 6: Final answer
    x = 567.17

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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.