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Finding the Fourth Proportional to 509.14, 702.66 and 312.76

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Solution

The fourth proportional to 509.14, 702.66 and 312.76 is: 431.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.14 : 702.66 = 312.76 : x
  2. Step 2: Convert to fraction form
    509.14/702.66 = 312.76/x
  3. Step 3: Cross multiply
    509.14x = 702.66 × 312.76
  4. Step 4: Simplify right side
    509.14x = 219,763.94
  5. Step 5: Solve for x
    x = 219,763.94/509.14
  6. Step 6: Final answer
    x = 431.64

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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.