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Finding the Fourth Proportional to 562.42, 841.35 and 504.08

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Solution

The fourth proportional to 562.42, 841.35 and 504.08 is: 754.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.42 : 841.35 = 504.08 : x
  2. Step 2: Convert to fraction form
    562.42/841.35 = 504.08/x
  3. Step 3: Cross multiply
    562.42x = 841.35 × 504.08
  4. Step 4: Simplify right side
    562.42x = 424,107.71
  5. Step 5: Solve for x
    x = 424,107.71/562.42
  6. Step 6: Final answer
    x = 754.08

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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.