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Finding the Fourth Proportional to 570.74, 787.37 and 460.37

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Solution

The fourth proportional to 570.74, 787.37 and 460.37 is: 635.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.74 : 787.37 = 460.37 : x
  2. Step 2: Convert to fraction form
    570.74/787.37 = 460.37/x
  3. Step 3: Cross multiply
    570.74x = 787.37 × 460.37
  4. Step 4: Simplify right side
    570.74x = 362,475.29
  5. Step 5: Solve for x
    x = 362,475.29/570.74
  6. Step 6: Final answer
    x = 635.10

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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.