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Finding the Fourth Proportional to 562.32, 841.74 and 514.47

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Solution

The fourth proportional to 562.32, 841.74 and 514.47 is: 770.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.32 : 841.74 = 514.47 : x
  2. Step 2: Convert to fraction form
    562.32/841.74 = 514.47/x
  3. Step 3: Cross multiply
    562.32x = 841.74 × 514.47
  4. Step 4: Simplify right side
    562.32x = 433,051.21
  5. Step 5: Solve for x
    x = 433,051.21/562.32
  6. Step 6: Final answer
    x = 770.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.