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Finding the Fourth Proportional to 571.86, 787.77 and 440.82

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Solution

The fourth proportional to 571.86, 787.77 and 440.82 is: 607.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.86 : 787.77 = 440.82 : x
  2. Step 2: Convert to fraction form
    571.86/787.77 = 440.82/x
  3. Step 3: Cross multiply
    571.86x = 787.77 × 440.82
  4. Step 4: Simplify right side
    571.86x = 347,264.77
  5. Step 5: Solve for x
    x = 347,264.77/571.86
  6. Step 6: Final answer
    x = 607.25

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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.