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Finding the Fourth Proportional to 508.77, 702.13 and 309.74

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Solution

The fourth proportional to 508.77, 702.13 and 309.74 is: 427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.77 : 702.13 = 309.74 : x
  2. Step 2: Convert to fraction form
    508.77/702.13 = 309.74/x
  3. Step 3: Cross multiply
    508.77x = 702.13 × 309.74
  4. Step 4: Simplify right side
    508.77x = 217,478.73
  5. Step 5: Solve for x
    x = 217,478.73/508.77
  6. Step 6: Final answer
    x = 427.46

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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.