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Finding the Fourth Proportional to 571, 788.16 and 364

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Solution

The fourth proportional to 571, 788.16 and 364 is: 502.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    571 : 788.16 = 364 : x
  2. Step 2: Convert to fraction form
    571/788.16 = 364/x
  3. Step 3: Cross multiply
    571x = 788.16 × 364
  4. Step 4: Simplify right side
    571x = 286,890.24
  5. Step 5: Solve for x
    x = 286,890.24/571
  6. Step 6: Final answer
    x = 502.43

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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.