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Finding the Fourth Proportional to 508.68, 702.09 and 312.15

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Solution

The fourth proportional to 508.68, 702.09 and 312.15 is: 430.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.68 : 702.09 = 312.15 : x
  2. Step 2: Convert to fraction form
    508.68/702.09 = 312.15/x
  3. Step 3: Cross multiply
    508.68x = 702.09 × 312.15
  4. Step 4: Simplify right side
    508.68x = 219,157.39
  5. Step 5: Solve for x
    x = 219,157.39/508.68
  6. Step 6: Final answer
    x = 430.84

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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.