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Finding the Fourth Proportional to 570.20, 786.88 and 337.32

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Solution

The fourth proportional to 570.20, 786.88 and 337.32 is: 465.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.20 : 786.88 = 337.32 : x
  2. Step 2: Convert to fraction form
    570.20/786.88 = 337.32/x
  3. Step 3: Cross multiply
    570.20x = 786.88 × 337.32
  4. Step 4: Simplify right side
    570.20x = 265,430.78
  5. Step 5: Solve for x
    x = 265,430.78/570.20
  6. Step 6: Final answer
    x = 465.51

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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.