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Finding the Fourth Proportional to 562, 775.92 and 407.04

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Solution

The fourth proportional to 562, 775.92 and 407.04 is: 561.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    562 : 775.92 = 407.04 : x
  2. Step 2: Convert to fraction form
    562/775.92 = 407.04/x
  3. Step 3: Cross multiply
    562x = 775.92 × 407.04
  4. Step 4: Simplify right side
    562x = 315,830.48
  5. Step 5: Solve for x
    x = 315,830.48/562
  6. Step 6: Final answer
    x = 561.98

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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.