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Finding the Fourth Proportional to 477.48, 658.91 and 278.36

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Solution

The fourth proportional to 477.48, 658.91 and 278.36 is: 384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.48 : 658.91 = 278.36 : x
  2. Step 2: Convert to fraction form
    477.48/658.91 = 278.36/x
  3. Step 3: Cross multiply
    477.48x = 658.91 × 278.36
  4. Step 4: Simplify right side
    477.48x = 183,409.50
  5. Step 5: Solve for x
    x = 183,409.50/477.48
  6. Step 6: Final answer
    x = 384.12

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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.