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Finding the Fourth Proportional to 457.80, 685.56 and 265.08

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Solution

The fourth proportional to 457.80, 685.56 and 265.08 is: 396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.80 : 685.56 = 265.08 : x
  2. Step 2: Convert to fraction form
    457.80/685.56 = 265.08/x
  3. Step 3: Cross multiply
    457.80x = 685.56 × 265.08
  4. Step 4: Simplify right side
    457.80x = 181,728.24
  5. Step 5: Solve for x
    x = 181,728.24/457.80
  6. Step 6: Final answer
    x = 396.96

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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.