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Finding the Fourth Proportional to 458.53, 688.40 and 263.72

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Solution

The fourth proportional to 458.53, 688.40 and 263.72 is: 395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.53 : 688.40 = 263.72 : x
  2. Step 2: Convert to fraction form
    458.53/688.40 = 263.72/x
  3. Step 3: Cross multiply
    458.53x = 688.40 × 263.72
  4. Step 4: Simplify right side
    458.53x = 181,543.53
  5. Step 5: Solve for x
    x = 181,543.53/458.53
  6. Step 6: Final answer
    x = 395.93

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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.