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Finding the Fourth Proportional to 570.37, 787.02 and 346.55

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Solution

The fourth proportional to 570.37, 787.02 and 346.55 is: 478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.37 : 787.02 = 346.55 : x
  2. Step 2: Convert to fraction form
    570.37/787.02 = 346.55/x
  3. Step 3: Cross multiply
    570.37x = 787.02 × 346.55
  4. Step 4: Simplify right side
    570.37x = 272,743.19
  5. Step 5: Solve for x
    x = 272,743.19/570.37
  6. Step 6: Final answer
    x = 478.19

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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.