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Finding the Fourth Proportional to 527.39, 795.06 and 492.16

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Solution

The fourth proportional to 527.39, 795.06 and 492.16 is: 741.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    527.39 : 795.06 = 492.16 : x
  2. Step 2: Convert to fraction form
    527.39/795.06 = 492.16/x
  3. Step 3: Cross multiply
    527.39x = 795.06 × 492.16
  4. Step 4: Simplify right side
    527.39x = 391,296.73
  5. Step 5: Solve for x
    x = 391,296.73/527.39
  6. Step 6: Final answer
    x = 741.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.