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Finding the Fourth Proportional to 651.76, 977.60 and 286.24

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Solution

The fourth proportional to 651.76, 977.60 and 286.24 is: 429.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.76 : 977.60 = 286.24 : x
  2. Step 2: Convert to fraction form
    651.76/977.60 = 286.24/x
  3. Step 3: Cross multiply
    651.76x = 977.60 × 286.24
  4. Step 4: Simplify right side
    651.76x = 279,828.22
  5. Step 5: Solve for x
    x = 279,828.22/651.76
  6. Step 6: Final answer
    x = 429.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.