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Finding the Fourth Proportional to 495.48, 739.32 and 437.16

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Solution

The fourth proportional to 495.48, 739.32 and 437.16 is: 652.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.48 : 739.32 = 437.16 : x
  2. Step 2: Convert to fraction form
    495.48/739.32 = 437.16/x
  3. Step 3: Cross multiply
    495.48x = 739.32 × 437.16
  4. Step 4: Simplify right side
    495.48x = 323,201.13
  5. Step 5: Solve for x
    x = 323,201.13/495.48
  6. Step 6: Final answer
    x = 652.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.