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Finding the Fourth Proportional to 570.44, 787.10 and 337.58

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Solution

The fourth proportional to 570.44, 787.10 and 337.58 is: 465.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.44 : 787.10 = 337.58 : x
  2. Step 2: Convert to fraction form
    570.44/787.10 = 337.58/x
  3. Step 3: Cross multiply
    570.44x = 787.10 × 337.58
  4. Step 4: Simplify right side
    570.44x = 265,707.53
  5. Step 5: Solve for x
    x = 265,707.53/570.44
  6. Step 6: Final answer
    x = 465.79

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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.