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Finding the Fourth Proportional to 511.16, 701.64 and 454.68

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Solution

The fourth proportional to 511.16, 701.64 and 454.68 is: 624.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.16 : 701.64 = 454.68 : x
  2. Step 2: Convert to fraction form
    511.16/701.64 = 454.68/x
  3. Step 3: Cross multiply
    511.16x = 701.64 × 454.68
  4. Step 4: Simplify right side
    511.16x = 319,021.68
  5. Step 5: Solve for x
    x = 319,021.68/511.16
  6. Step 6: Final answer
    x = 624.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.