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Finding the Fourth Proportional to 504.65, 757.14 and 417.59

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Solution

The fourth proportional to 504.65, 757.14 and 417.59 is: 626.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.65 : 757.14 = 417.59 : x
  2. Step 2: Convert to fraction form
    504.65/757.14 = 417.59/x
  3. Step 3: Cross multiply
    504.65x = 757.14 × 417.59
  4. Step 4: Simplify right side
    504.65x = 316,171.58
  5. Step 5: Solve for x
    x = 316,171.58/504.65
  6. Step 6: Final answer
    x = 626.51

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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.