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Finding the Fourth Proportional to 651.64, 977.49 and 362.86

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Solution

The fourth proportional to 651.64, 977.49 and 362.86 is: 544.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.64 : 977.49 = 362.86 : x
  2. Step 2: Convert to fraction form
    651.64/977.49 = 362.86/x
  3. Step 3: Cross multiply
    651.64x = 977.49 × 362.86
  4. Step 4: Simplify right side
    651.64x = 354,692.02
  5. Step 5: Solve for x
    x = 354,692.02/651.64
  6. Step 6: Final answer
    x = 544.31

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Why These Related Problems?

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