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Finding the Fourth Proportional to 457.93, 686.90 and 351.01

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Solution

The fourth proportional to 457.93, 686.90 and 351.01 is: 526.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.93 : 686.90 = 351.01 : x
  2. Step 2: Convert to fraction form
    457.93/686.90 = 351.01/x
  3. Step 3: Cross multiply
    457.93x = 686.90 × 351.01
  4. Step 4: Simplify right side
    457.93x = 241,107.01
  5. Step 5: Solve for x
    x = 241,107.01/457.93
  6. Step 6: Final answer
    x = 526.52

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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.