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Finding the Fourth Proportional to 570.55, 787.40 and 349.45

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Solution

The fourth proportional to 570.55, 787.40 and 349.45 is: 482.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.55 : 787.40 = 349.45 : x
  2. Step 2: Convert to fraction form
    570.55/787.40 = 349.45/x
  3. Step 3: Cross multiply
    570.55x = 787.40 × 349.45
  4. Step 4: Simplify right side
    570.55x = 275,156.93
  5. Step 5: Solve for x
    x = 275,156.93/570.55
  6. Step 6: Final answer
    x = 482.27

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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.