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Finding the Fourth Proportional to 513.21, 767.55 and 458.81

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Solution

The fourth proportional to 513.21, 767.55 and 458.81 is: 686.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.21 : 767.55 = 458.81 : x
  2. Step 2: Convert to fraction form
    513.21/767.55 = 458.81/x
  3. Step 3: Cross multiply
    513.21x = 767.55 × 458.81
  4. Step 4: Simplify right side
    513.21x = 352,159.62
  5. Step 5: Solve for x
    x = 352,159.62/513.21
  6. Step 6: Final answer
    x = 686.19

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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.