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Finding the Fourth Proportional to 520.93, 717.35 and 465.65

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Solution

The fourth proportional to 520.93, 717.35 and 465.65 is: 641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.93 : 717.35 = 465.65 : x
  2. Step 2: Convert to fraction form
    520.93/717.35 = 465.65/x
  3. Step 3: Cross multiply
    520.93x = 717.35 × 465.65
  4. Step 4: Simplify right side
    520.93x = 334,034.03
  5. Step 5: Solve for x
    x = 334,034.03/520.93
  6. Step 6: Final answer
    x = 641.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.