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Finding the Fourth Proportional to 570.18, 787.41 and 515.46

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Solution

The fourth proportional to 570.18, 787.41 and 515.46 is: 711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.18 : 787.41 = 515.46 : x
  2. Step 2: Convert to fraction form
    570.18/787.41 = 515.46/x
  3. Step 3: Cross multiply
    570.18x = 787.41 × 515.46
  4. Step 4: Simplify right side
    570.18x = 405,878.36
  5. Step 5: Solve for x
    x = 405,878.36/570.18
  6. Step 6: Final answer
    x = 711.84

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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.