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Finding the Fourth Proportional to 511.10, 705.26 and 314.58

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Solution

The fourth proportional to 511.10, 705.26 and 314.58 is: 434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.10 : 705.26 = 314.58 : x
  2. Step 2: Convert to fraction form
    511.10/705.26 = 314.58/x
  3. Step 3: Cross multiply
    511.10x = 705.26 × 314.58
  4. Step 4: Simplify right side
    511.10x = 221,860.69
  5. Step 5: Solve for x
    x = 221,860.69/511.10
  6. Step 6: Final answer
    x = 434.08

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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.