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Finding the Fourth Proportional to 691.32, 954.11 and 429.38

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Solution

The fourth proportional to 691.32, 954.11 and 429.38 is: 592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    691.32 : 954.11 = 429.38 : x
  2. Step 2: Convert to fraction form
    691.32/954.11 = 429.38/x
  3. Step 3: Cross multiply
    691.32x = 954.11 × 429.38
  4. Step 4: Simplify right side
    691.32x = 409,668.83
  5. Step 5: Solve for x
    x = 409,668.83/691.32
  6. Step 6: Final answer
    x = 592.59

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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.