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Finding the Fourth Proportional to 509.40, 702.94 and 288.36

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Solution

The fourth proportional to 509.40, 702.94 and 288.36 is: 397.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.40 : 702.94 = 288.36 : x
  2. Step 2: Convert to fraction form
    509.40/702.94 = 288.36/x
  3. Step 3: Cross multiply
    509.40x = 702.94 × 288.36
  4. Step 4: Simplify right side
    509.40x = 202,699.78
  5. Step 5: Solve for x
    x = 202,699.78/509.40
  6. Step 6: Final answer
    x = 397.92

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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.