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Finding the Fourth Proportional to 570.26, 787.65 and 496.34

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Solution

The fourth proportional to 570.26, 787.65 and 496.34 is: 685.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.26 : 787.65 = 496.34 : x
  2. Step 2: Convert to fraction form
    570.26/787.65 = 496.34/x
  3. Step 3: Cross multiply
    570.26x = 787.65 × 496.34
  4. Step 4: Simplify right side
    570.26x = 390,942.20
  5. Step 5: Solve for x
    x = 390,942.20/570.26
  6. Step 6: Final answer
    x = 685.55

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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.