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Finding the Fourth Proportional to 457.86, 686.70 and 386.04

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Solution

The fourth proportional to 457.86, 686.70 and 386.04 is: 578.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.86 : 686.70 = 386.04 : x
  2. Step 2: Convert to fraction form
    457.86/686.70 = 386.04/x
  3. Step 3: Cross multiply
    457.86x = 686.70 × 386.04
  4. Step 4: Simplify right side
    457.86x = 265,093.67
  5. Step 5: Solve for x
    x = 265,093.67/457.86
  6. Step 6: Final answer
    x = 578.98

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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.