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Finding the Fourth Proportional to 457.74, 685.86 and 262.50

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Solution

The fourth proportional to 457.74, 685.86 and 262.50 is: 393.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.74 : 685.86 = 262.50 : x
  2. Step 2: Convert to fraction form
    457.74/685.86 = 262.50/x
  3. Step 3: Cross multiply
    457.74x = 685.86 × 262.50
  4. Step 4: Simplify right side
    457.74x = 180,038.25
  5. Step 5: Solve for x
    x = 180,038.25/457.74
  6. Step 6: Final answer
    x = 393.32

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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.