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Finding the Fourth Proportional to 562.17, 775.58 and 341.04

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Solution

The fourth proportional to 562.17, 775.58 and 341.04 is: 470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.17 : 775.58 = 341.04 : x
  2. Step 2: Convert to fraction form
    562.17/775.58 = 341.04/x
  3. Step 3: Cross multiply
    562.17x = 775.58 × 341.04
  4. Step 4: Simplify right side
    562.17x = 264,505.01
  5. Step 5: Solve for x
    x = 264,505.01/562.17
  6. Step 6: Final answer
    x = 470.50

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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.