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Finding the Fourth Proportional to 509.50, 702.82 and 332.51

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Solution

The fourth proportional to 509.50, 702.82 and 332.51 is: 458.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.50 : 702.82 = 332.51 : x
  2. Step 2: Convert to fraction form
    509.50/702.82 = 332.51/x
  3. Step 3: Cross multiply
    509.50x = 702.82 × 332.51
  4. Step 4: Simplify right side
    509.50x = 233,694.68
  5. Step 5: Solve for x
    x = 233,694.68/509.50
  6. Step 6: Final answer
    x = 458.67

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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.