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Finding the Fourth Proportional to 509.29, 702.84 and 296.59

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Solution

The fourth proportional to 509.29, 702.84 and 296.59 is: 409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.29 : 702.84 = 296.59 : x
  2. Step 2: Convert to fraction form
    509.29/702.84 = 296.59/x
  3. Step 3: Cross multiply
    509.29x = 702.84 × 296.59
  4. Step 4: Simplify right side
    509.29x = 208,453.56
  5. Step 5: Solve for x
    x = 208,453.56/509.29
  6. Step 6: Final answer
    x = 409.30

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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.