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Finding the Fourth Proportional to 292.79, 404.62 and 240.24

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Solution

The fourth proportional to 292.79, 404.62 and 240.24 is: 332.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.79 : 404.62 = 240.24 : x
  2. Step 2: Convert to fraction form
    292.79/404.62 = 240.24/x
  3. Step 3: Cross multiply
    292.79x = 404.62 × 240.24
  4. Step 4: Simplify right side
    292.79x = 97,205.91
  5. Step 5: Solve for x
    x = 97,205.91/292.79
  6. Step 6: Final answer
    x = 332.00

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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.