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Finding the Fourth Proportional to 453.16, 624.42 and 348.24

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Solution

The fourth proportional to 453.16, 624.42 and 348.24 is: 479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.16 : 624.42 = 348.24 : x
  2. Step 2: Convert to fraction form
    453.16/624.42 = 348.24/x
  3. Step 3: Cross multiply
    453.16x = 624.42 × 348.24
  4. Step 4: Simplify right side
    453.16x = 217,448.02
  5. Step 5: Solve for x
    x = 217,448.02/453.16
  6. Step 6: Final answer
    x = 479.85

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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.