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Finding the Fourth Proportional to 452.15, 677.17 and 348.61

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Solution

The fourth proportional to 452.15, 677.17 and 348.61 is: 522.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.15 : 677.17 = 348.61 : x
  2. Step 2: Convert to fraction form
    452.15/677.17 = 348.61/x
  3. Step 3: Cross multiply
    452.15x = 677.17 × 348.61
  4. Step 4: Simplify right side
    452.15x = 236,068.23
  5. Step 5: Solve for x
    x = 236,068.23/452.15
  6. Step 6: Final answer
    x = 522.10

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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.