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Finding the Fourth Proportional to 417.52, 625.74 and 289

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Solution

The fourth proportional to 417.52, 625.74 and 289 is: 433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.52 : 625.74 = 289 : x
  2. Step 2: Convert to fraction form
    417.52/625.74 = 289/x
  3. Step 3: Cross multiply
    417.52x = 625.74 × 289
  4. Step 4: Simplify right side
    417.52x = 180,838.86
  5. Step 5: Solve for x
    x = 180,838.86/417.52
  6. Step 6: Final answer
    x = 433.13

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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.