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Finding the Fourth Proportional to 509.07, 702.46 and 288.02

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Solution

The fourth proportional to 509.07, 702.46 and 288.02 is: 397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.07 : 702.46 = 288.02 : x
  2. Step 2: Convert to fraction form
    509.07/702.46 = 288.02/x
  3. Step 3: Cross multiply
    509.07x = 702.46 × 288.02
  4. Step 4: Simplify right side
    509.07x = 202,317.58
  5. Step 5: Solve for x
    x = 202,317.58/509.07
  6. Step 6: Final answer
    x = 397.43

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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.