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Finding the Fourth Proportional to 658.04, 986.36 and 288.04

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Solution

The fourth proportional to 658.04, 986.36 and 288.04 is: 431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.04 : 986.36 = 288.04 : x
  2. Step 2: Convert to fraction form
    658.04/986.36 = 288.04/x
  3. Step 3: Cross multiply
    658.04x = 986.36 × 288.04
  4. Step 4: Simplify right side
    658.04x = 284,111.13
  5. Step 5: Solve for x
    x = 284,111.13/658.04
  6. Step 6: Final answer
    x = 431.75

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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.