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Finding the Fourth Proportional to 511.86, 705.60 and 400.98

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Solution

The fourth proportional to 511.86, 705.60 and 400.98 is: 552.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.86 : 705.60 = 400.98 : x
  2. Step 2: Convert to fraction form
    511.86/705.60 = 400.98/x
  3. Step 3: Cross multiply
    511.86x = 705.60 × 400.98
  4. Step 4: Simplify right side
    511.86x = 282,931.49
  5. Step 5: Solve for x
    x = 282,931.49/511.86
  6. Step 6: Final answer
    x = 552.75

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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.