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Finding the Fourth Proportional to 509.00, 702.14 and 312.17

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Solution

The fourth proportional to 509.00, 702.14 and 312.17 is: 430.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.00 : 702.14 = 312.17 : x
  2. Step 2: Convert to fraction form
    509.00/702.14 = 312.17/x
  3. Step 3: Cross multiply
    509.00x = 702.14 × 312.17
  4. Step 4: Simplify right side
    509.00x = 219,181.97
  5. Step 5: Solve for x
    x = 219,181.97/509.00
  6. Step 6: Final answer
    x = 430.62

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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.