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Finding the Fourth Proportional to 488.48, 737.04 and 472.32

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Solution

The fourth proportional to 488.48, 737.04 and 472.32 is: 712.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.48 : 737.04 = 472.32 : x
  2. Step 2: Convert to fraction form
    488.48/737.04 = 472.32/x
  3. Step 3: Cross multiply
    488.48x = 737.04 × 472.32
  4. Step 4: Simplify right side
    488.48x = 348,118.73
  5. Step 5: Solve for x
    x = 348,118.73/488.48
  6. Step 6: Final answer
    x = 712.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.