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Finding the Fourth Proportional to 457.08, 686.03 and 370.21

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Solution

The fourth proportional to 457.08, 686.03 and 370.21 is: 555.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.08 : 686.03 = 370.21 : x
  2. Step 2: Convert to fraction form
    457.08/686.03 = 370.21/x
  3. Step 3: Cross multiply
    457.08x = 686.03 × 370.21
  4. Step 4: Simplify right side
    457.08x = 253,975.17
  5. Step 5: Solve for x
    x = 253,975.17/457.08
  6. Step 6: Final answer
    x = 555.65

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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.