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Finding the Fourth Proportional to 511.34, 705.90 and 315.04

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Solution

The fourth proportional to 511.34, 705.90 and 315.04 is: 434.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.34 : 705.90 = 315.04 : x
  2. Step 2: Convert to fraction form
    511.34/705.90 = 315.04/x
  3. Step 3: Cross multiply
    511.34x = 705.90 × 315.04
  4. Step 4: Simplify right side
    511.34x = 222,386.74
  5. Step 5: Solve for x
    x = 222,386.74/511.34
  6. Step 6: Final answer
    x = 434.91

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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.