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Finding the Fourth Proportional to 570.72, 787.71 and 322.05

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Solution

The fourth proportional to 570.72, 787.71 and 322.05 is: 444.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.72 : 787.71 = 322.05 : x
  2. Step 2: Convert to fraction form
    570.72/787.71 = 322.05/x
  3. Step 3: Cross multiply
    570.72x = 787.71 × 322.05
  4. Step 4: Simplify right side
    570.72x = 253,682.01
  5. Step 5: Solve for x
    x = 253,682.01/570.72
  6. Step 6: Final answer
    x = 444.49

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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.