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Finding the Fourth Proportional to 457.66, 687.41 and 275.40

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Solution

The fourth proportional to 457.66, 687.41 and 275.40 is: 413.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.66 : 687.41 = 275.40 : x
  2. Step 2: Convert to fraction form
    457.66/687.41 = 275.40/x
  3. Step 3: Cross multiply
    457.66x = 687.41 × 275.40
  4. Step 4: Simplify right side
    457.66x = 189,312.71
  5. Step 5: Solve for x
    x = 189,312.71/457.66
  6. Step 6: Final answer
    x = 413.65

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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.