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Finding the Fourth Proportional to 292.65, 404.63 and 256.20

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Solution

The fourth proportional to 292.65, 404.63 and 256.20 is: 354.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.65 : 404.63 = 256.20 : x
  2. Step 2: Convert to fraction form
    292.65/404.63 = 256.20/x
  3. Step 3: Cross multiply
    292.65x = 404.63 × 256.20
  4. Step 4: Simplify right side
    292.65x = 103,664.93
  5. Step 5: Solve for x
    x = 103,664.93/292.65
  6. Step 6: Final answer
    x = 354.23

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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.