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Finding the Fourth Proportional to 477.48, 716.24 and 258.28

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Solution

The fourth proportional to 477.48, 716.24 and 258.28 is: 387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.48 : 716.24 = 258.28 : x
  2. Step 2: Convert to fraction form
    477.48/716.24 = 258.28/x
  3. Step 3: Cross multiply
    477.48x = 716.24 × 258.28
  4. Step 4: Simplify right side
    477.48x = 184,985.59
  5. Step 5: Solve for x
    x = 184,985.59/477.48
  6. Step 6: Final answer
    x = 387.42

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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.