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Finding the Fourth Proportional to 495.52, 741.45 and 386.17

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Solution

The fourth proportional to 495.52, 741.45 and 386.17 is: 577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.52 : 741.45 = 386.17 : x
  2. Step 2: Convert to fraction form
    495.52/741.45 = 386.17/x
  3. Step 3: Cross multiply
    495.52x = 741.45 × 386.17
  4. Step 4: Simplify right side
    495.52x = 286,325.34
  5. Step 5: Solve for x
    x = 286,325.34/495.52
  6. Step 6: Final answer
    x = 577.83

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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.