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Finding the Fourth Proportional to 570.89, 787.73 and 322.17

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Solution

The fourth proportional to 570.89, 787.73 and 322.17 is: 444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.89 : 787.73 = 322.17 : x
  2. Step 2: Convert to fraction form
    570.89/787.73 = 322.17/x
  3. Step 3: Cross multiply
    570.89x = 787.73 × 322.17
  4. Step 4: Simplify right side
    570.89x = 253,781.36
  5. Step 5: Solve for x
    x = 253,781.36/570.89
  6. Step 6: Final answer
    x = 444.54

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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.