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Finding the Fourth Proportional to 511.40, 705.57 and 400.74

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Solution

The fourth proportional to 511.40, 705.57 and 400.74 is: 552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.40 : 705.57 = 400.74 : x
  2. Step 2: Convert to fraction form
    511.40/705.57 = 400.74/x
  3. Step 3: Cross multiply
    511.40x = 705.57 × 400.74
  4. Step 4: Simplify right side
    511.40x = 282,750.12
  5. Step 5: Solve for x
    x = 282,750.12/511.40
  6. Step 6: Final answer
    x = 552.89

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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.