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Finding the Fourth Proportional to 570.84, 787.78 and 322.22

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Solution

The fourth proportional to 570.84, 787.78 and 322.22 is: 444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.84 : 787.78 = 322.22 : x
  2. Step 2: Convert to fraction form
    570.84/787.78 = 322.22/x
  3. Step 3: Cross multiply
    570.84x = 787.78 × 322.22
  4. Step 4: Simplify right side
    570.84x = 253,838.47
  5. Step 5: Solve for x
    x = 253,838.47/570.84
  6. Step 6: Final answer
    x = 444.68

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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.