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Finding the Fourth Proportional to 690.53, 952.82 and 410.75

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Solution

The fourth proportional to 690.53, 952.82 and 410.75 is: 566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.53 : 952.82 = 410.75 : x
  2. Step 2: Convert to fraction form
    690.53/952.82 = 410.75/x
  3. Step 3: Cross multiply
    690.53x = 952.82 × 410.75
  4. Step 4: Simplify right side
    690.53x = 391,373.70
  5. Step 5: Solve for x
    x = 391,373.70/690.53
  6. Step 6: Final answer
    x = 566.77

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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.