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Finding the Fourth Proportional to 571.24, 787.78 and 364.20

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Solution

The fourth proportional to 571.24, 787.78 and 364.20 is: 502.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.24 : 787.78 = 364.20 : x
  2. Step 2: Convert to fraction form
    571.24/787.78 = 364.20/x
  3. Step 3: Cross multiply
    571.24x = 787.78 × 364.20
  4. Step 4: Simplify right side
    571.24x = 286,909.48
  5. Step 5: Solve for x
    x = 286,909.48/571.24
  6. Step 6: Final answer
    x = 502.26

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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.