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Finding the Fourth Proportional to 511.53, 705.51 and 315.15

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Solution

The fourth proportional to 511.53, 705.51 and 315.15 is: 434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.53 : 705.51 = 315.15 : x
  2. Step 2: Convert to fraction form
    511.53/705.51 = 315.15/x
  3. Step 3: Cross multiply
    511.53x = 705.51 × 315.15
  4. Step 4: Simplify right side
    511.53x = 222,341.48
  5. Step 5: Solve for x
    x = 222,341.48/511.53
  6. Step 6: Final answer
    x = 434.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.