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Finding the Fourth Proportional to 511.53, 705.93 and 315.10

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Solution

The fourth proportional to 511.53, 705.93 and 315.10 is: 434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.53 : 705.93 = 315.10 : x
  2. Step 2: Convert to fraction form
    511.53/705.93 = 315.10/x
  3. Step 3: Cross multiply
    511.53x = 705.93 × 315.10
  4. Step 4: Simplify right side
    511.53x = 222,438.54
  5. Step 5: Solve for x
    x = 222,438.54/511.53
  6. Step 6: Final answer
    x = 434.85

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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.