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Finding the Fourth Proportional to 570.02, 787.42 and 440.68

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Solution

The fourth proportional to 570.02, 787.42 and 440.68 is: 608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.02 : 787.42 = 440.68 : x
  2. Step 2: Convert to fraction form
    570.02/787.42 = 440.68/x
  3. Step 3: Cross multiply
    570.02x = 787.42 × 440.68
  4. Step 4: Simplify right side
    570.02x = 347,000.25
  5. Step 5: Solve for x
    x = 347,000.25/570.02
  6. Step 6: Final answer
    x = 608.75

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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.