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Finding the Fourth Proportional to 517.16, 774.48 and 498.53

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Solution

The fourth proportional to 517.16, 774.48 and 498.53 is: 746.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.16 : 774.48 = 498.53 : x
  2. Step 2: Convert to fraction form
    517.16/774.48 = 498.53/x
  3. Step 3: Cross multiply
    517.16x = 774.48 × 498.53
  4. Step 4: Simplify right side
    517.16x = 386,101.51
  5. Step 5: Solve for x
    x = 386,101.51/517.16
  6. Step 6: Final answer
    x = 746.58

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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.