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Finding the Fourth Proportional to 488.52, 731.36 and 407

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Solution

The fourth proportional to 488.52, 731.36 and 407 is: 609.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.52 : 731.36 = 407 : x
  2. Step 2: Convert to fraction form
    488.52/731.36 = 407/x
  3. Step 3: Cross multiply
    488.52x = 731.36 × 407
  4. Step 4: Simplify right side
    488.52x = 297,663.52
  5. Step 5: Solve for x
    x = 297,663.52/488.52
  6. Step 6: Final answer
    x = 609.32

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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.