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Finding the Fourth Proportional to 570, 786.70 and 337.12

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Solution

The fourth proportional to 570, 786.70 and 337.12 is: 465.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    570 : 786.70 = 337.12 : x
  2. Step 2: Convert to fraction form
    570/786.70 = 337.12/x
  3. Step 3: Cross multiply
    570x = 786.70 × 337.12
  4. Step 4: Simplify right side
    570x = 265,212.30
  5. Step 5: Solve for x
    x = 265,212.30/570
  6. Step 6: Final answer
    x = 465.28

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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.