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Finding the Fourth Proportional to 562.92, 776.92 and 429.92

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Solution

The fourth proportional to 562.92, 776.92 and 429.92 is: 593.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.92 : 776.92 = 429.92 : x
  2. Step 2: Convert to fraction form
    562.92/776.92 = 429.92/x
  3. Step 3: Cross multiply
    562.92x = 776.92 × 429.92
  4. Step 4: Simplify right side
    562.92x = 334,013.45
  5. Step 5: Solve for x
    x = 334,013.45/562.92
  6. Step 6: Final answer
    x = 593.36

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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.