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Finding the Fourth Proportional to 457.65, 686.94 and 356.05

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Solution

The fourth proportional to 457.65, 686.94 and 356.05 is: 534.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.65 : 686.94 = 356.05 : x
  2. Step 2: Convert to fraction form
    457.65/686.94 = 356.05/x
  3. Step 3: Cross multiply
    457.65x = 686.94 × 356.05
  4. Step 4: Simplify right side
    457.65x = 244,579.77
  5. Step 5: Solve for x
    x = 244,579.77/457.65
  6. Step 6: Final answer
    x = 534.43

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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.