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Finding the Fourth Proportional to 570.05, 787.44 and 540.48

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Solution

The fourth proportional to 570.05, 787.44 and 540.48 is: 746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.05 : 787.44 = 540.48 : x
  2. Step 2: Convert to fraction form
    570.05/787.44 = 540.48/x
  3. Step 3: Cross multiply
    570.05x = 787.44 × 540.48
  4. Step 4: Simplify right side
    570.05x = 425,595.57
  5. Step 5: Solve for x
    x = 425,595.57/570.05
  6. Step 6: Final answer
    x = 746.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.