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Finding the Fourth Proportional to 570.42, 787.59 and 447.30

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Solution

The fourth proportional to 570.42, 787.59 and 447.30 is: 617.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.42 : 787.59 = 447.30 : x
  2. Step 2: Convert to fraction form
    570.42/787.59 = 447.30/x
  3. Step 3: Cross multiply
    570.42x = 787.59 × 447.30
  4. Step 4: Simplify right side
    570.42x = 352,289.01
  5. Step 5: Solve for x
    x = 352,289.01/570.42
  6. Step 6: Final answer
    x = 617.60

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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.