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Finding the Fourth Proportional to 508.69, 702.00 and 312.33

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Solution

The fourth proportional to 508.69, 702.00 and 312.33 is: 431.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.69 : 702.00 = 312.33 : x
  2. Step 2: Convert to fraction form
    508.69/702.00 = 312.33/x
  3. Step 3: Cross multiply
    508.69x = 702.00 × 312.33
  4. Step 4: Simplify right side
    508.69x = 219,254.10
  5. Step 5: Solve for x
    x = 219,254.10/508.69
  6. Step 6: Final answer
    x = 431.02

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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.