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Finding the Fourth Proportional to 571.47, 787.82 and 405.63

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Solution

The fourth proportional to 571.47, 787.82 and 405.63 is: 559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.47 : 787.82 = 405.63 : x
  2. Step 2: Convert to fraction form
    571.47/787.82 = 405.63/x
  3. Step 3: Cross multiply
    571.47x = 787.82 × 405.63
  4. Step 4: Simplify right side
    571.47x = 319,561.40
  5. Step 5: Solve for x
    x = 319,561.40/571.47
  6. Step 6: Final answer
    x = 559.19

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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.