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Finding the Fourth Proportional to 570.84, 787.86 and 338.10

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Solution

The fourth proportional to 570.84, 787.86 and 338.10 is: 466.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.84 : 787.86 = 338.10 : x
  2. Step 2: Convert to fraction form
    570.84/787.86 = 338.10/x
  3. Step 3: Cross multiply
    570.84x = 787.86 × 338.10
  4. Step 4: Simplify right side
    570.84x = 266,375.47
  5. Step 5: Solve for x
    x = 266,375.47/570.84
  6. Step 6: Final answer
    x = 466.64

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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.