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Finding the Fourth Proportional to 562.04, 775.67 and 341.01

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Solution

The fourth proportional to 562.04, 775.67 and 341.01 is: 470.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.04 : 775.67 = 341.01 : x
  2. Step 2: Convert to fraction form
    562.04/775.67 = 341.01/x
  3. Step 3: Cross multiply
    562.04x = 775.67 × 341.01
  4. Step 4: Simplify right side
    562.04x = 264,506.61
  5. Step 5: Solve for x
    x = 264,506.61/562.04
  6. Step 6: Final answer
    x = 470.62

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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.