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Finding the Fourth Proportional to 562.41, 839.93 and 471.15

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Solution

The fourth proportional to 562.41, 839.93 and 471.15 is: 703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    562.41 : 839.93 = 471.15 : x
  2. Step 2: Convert to fraction form
    562.41/839.93 = 471.15/x
  3. Step 3: Cross multiply
    562.41x = 839.93 × 471.15
  4. Step 4: Simplify right side
    562.41x = 395,730.66
  5. Step 5: Solve for x
    x = 395,730.66/562.41
  6. Step 6: Final answer
    x = 703.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.