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Finding the Fourth Proportional to 570.36, 787.14 and 346.20

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Solution

The fourth proportional to 570.36, 787.14 and 346.20 is: 477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.36 : 787.14 = 346.20 : x
  2. Step 2: Convert to fraction form
    570.36/787.14 = 346.20/x
  3. Step 3: Cross multiply
    570.36x = 787.14 × 346.20
  4. Step 4: Simplify right side
    570.36x = 272,507.87
  5. Step 5: Solve for x
    x = 272,507.87/570.36
  6. Step 6: Final answer
    x = 477.78

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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.