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Finding the Fourth Proportional to 509.63, 702.59 and 426.60

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Solution

The fourth proportional to 509.63, 702.59 and 426.60 is: 588.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.63 : 702.59 = 426.60 : x
  2. Step 2: Convert to fraction form
    509.63/702.59 = 426.60/x
  3. Step 3: Cross multiply
    509.63x = 702.59 × 426.60
  4. Step 4: Simplify right side
    509.63x = 299,724.89
  5. Step 5: Solve for x
    x = 299,724.89/509.63
  6. Step 6: Final answer
    x = 588.12

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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.