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Finding the Fourth Proportional to 417.65, 625.88 and 307.10

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Solution

The fourth proportional to 417.65, 625.88 and 307.10 is: 460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.65 : 625.88 = 307.10 : x
  2. Step 2: Convert to fraction form
    417.65/625.88 = 307.10/x
  3. Step 3: Cross multiply
    417.65x = 625.88 × 307.10
  4. Step 4: Simplify right side
    417.65x = 192,207.75
  5. Step 5: Solve for x
    x = 192,207.75/417.65
  6. Step 6: Final answer
    x = 460.21

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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.