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Finding the Fourth Proportional to 509.08, 702.52 and 288.08

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Solution

The fourth proportional to 509.08, 702.52 and 288.08 is: 397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.08 : 702.52 = 288.08 : x
  2. Step 2: Convert to fraction form
    509.08/702.52 = 288.08/x
  3. Step 3: Cross multiply
    509.08x = 702.52 × 288.08
  4. Step 4: Simplify right side
    509.08x = 202,381.96
  5. Step 5: Solve for x
    x = 202,381.96/509.08
  6. Step 6: Final answer
    x = 397.54

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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.