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Finding the Fourth Proportional to 517.47, 714.57 and 352.08

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Solution

The fourth proportional to 517.47, 714.57 and 352.08 is: 486.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.47 : 714.57 = 352.08 : x
  2. Step 2: Convert to fraction form
    517.47/714.57 = 352.08/x
  3. Step 3: Cross multiply
    517.47x = 714.57 × 352.08
  4. Step 4: Simplify right side
    517.47x = 251,585.81
  5. Step 5: Solve for x
    x = 251,585.81/517.47
  6. Step 6: Final answer
    x = 486.18

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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.