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Finding the Fourth Proportional to 509.04, 702.38 and 296.27

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Solution

The fourth proportional to 509.04, 702.38 and 296.27 is: 408.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.04 : 702.38 = 296.27 : x
  2. Step 2: Convert to fraction form
    509.04/702.38 = 296.27/x
  3. Step 3: Cross multiply
    509.04x = 702.38 × 296.27
  4. Step 4: Simplify right side
    509.04x = 208,089.13
  5. Step 5: Solve for x
    x = 208,089.13/509.04
  6. Step 6: Final answer
    x = 408.79

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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.