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Finding the Fourth Proportional to 570.25, 786.99 and 337.42

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Solution

The fourth proportional to 570.25, 786.99 and 337.42 is: 465.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.25 : 786.99 = 337.42 : x
  2. Step 2: Convert to fraction form
    570.25/786.99 = 337.42/x
  3. Step 3: Cross multiply
    570.25x = 786.99 × 337.42
  4. Step 4: Simplify right side
    570.25x = 265,546.17
  5. Step 5: Solve for x
    x = 265,546.17/570.25
  6. Step 6: Final answer
    x = 465.67

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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.