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Finding the Fourth Proportional to 509.52, 702.77 and 313.14

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Solution

The fourth proportional to 509.52, 702.77 and 313.14 is: 431.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.52 : 702.77 = 313.14 : x
  2. Step 2: Convert to fraction form
    509.52/702.77 = 313.14/x
  3. Step 3: Cross multiply
    509.52x = 702.77 × 313.14
  4. Step 4: Simplify right side
    509.52x = 220,065.40
  5. Step 5: Solve for x
    x = 220,065.40/509.52
  6. Step 6: Final answer
    x = 431.91

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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.