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Finding the Fourth Proportional to 570.86, 787.87 and 322.28

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Solution

The fourth proportional to 570.86, 787.87 and 322.28 is: 444.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.86 : 787.87 = 322.28 : x
  2. Step 2: Convert to fraction form
    570.86/787.87 = 322.28/x
  3. Step 3: Cross multiply
    570.86x = 787.87 × 322.28
  4. Step 4: Simplify right side
    570.86x = 253,913.13
  5. Step 5: Solve for x
    x = 253,913.13/570.86
  6. Step 6: Final answer
    x = 444.79

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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.