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Finding the Fourth Proportional to 477.48, 716.58 and 349.32

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Solution

The fourth proportional to 477.48, 716.58 and 349.32 is: 524.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.48 : 716.58 = 349.32 : x
  2. Step 2: Convert to fraction form
    477.48/716.58 = 349.32/x
  3. Step 3: Cross multiply
    477.48x = 716.58 × 349.32
  4. Step 4: Simplify right side
    477.48x = 250,315.73
  5. Step 5: Solve for x
    x = 250,315.73/477.48
  6. Step 6: Final answer
    x = 524.24

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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.