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Finding the Fourth Proportional to 478.13, 716.58 and 355.41

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Solution

The fourth proportional to 478.13, 716.58 and 355.41 is: 532.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.13 : 716.58 = 355.41 : x
  2. Step 2: Convert to fraction form
    478.13/716.58 = 355.41/x
  3. Step 3: Cross multiply
    478.13x = 716.58 × 355.41
  4. Step 4: Simplify right side
    478.13x = 254,679.70
  5. Step 5: Solve for x
    x = 254,679.70/478.13
  6. Step 6: Final answer
    x = 532.66

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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.