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Finding the Fourth Proportional to 570.36, 787.14 and 454.80

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Solution

The fourth proportional to 570.36, 787.14 and 454.80 is: 627.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.36 : 787.14 = 454.80 : x
  2. Step 2: Convert to fraction form
    570.36/787.14 = 454.80/x
  3. Step 3: Cross multiply
    570.36x = 787.14 × 454.80
  4. Step 4: Simplify right side
    570.36x = 357,991.27
  5. Step 5: Solve for x
    x = 357,991.27/570.36
  6. Step 6: Final answer
    x = 627.66

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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.