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Finding the Fourth Proportional to 570.13, 787.26 and 349.15

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Solution

The fourth proportional to 570.13, 787.26 and 349.15 is: 482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.13 : 787.26 = 349.15 : x
  2. Step 2: Convert to fraction form
    570.13/787.26 = 349.15/x
  3. Step 3: Cross multiply
    570.13x = 787.26 × 349.15
  4. Step 4: Simplify right side
    570.13x = 274,871.83
  5. Step 5: Solve for x
    x = 274,871.83/570.13
  6. Step 6: Final answer
    x = 482.12

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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.