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Finding the Fourth Proportional to 509.35, 702.94 and 288.30

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Solution

The fourth proportional to 509.35, 702.94 and 288.30 is: 397.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.35 : 702.94 = 288.30 : x
  2. Step 2: Convert to fraction form
    509.35/702.94 = 288.30/x
  3. Step 3: Cross multiply
    509.35x = 702.94 × 288.30
  4. Step 4: Simplify right side
    509.35x = 202,657.60
  5. Step 5: Solve for x
    x = 202,657.60/509.35
  6. Step 6: Final answer
    x = 397.87

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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.