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Finding the Fourth Proportional to 617.02, 928.64 and 463.75

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Solution

The fourth proportional to 617.02, 928.64 and 463.75 is: 697.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.02 : 928.64 = 463.75 : x
  2. Step 2: Convert to fraction form
    617.02/928.64 = 463.75/x
  3. Step 3: Cross multiply
    617.02x = 928.64 × 463.75
  4. Step 4: Simplify right side
    617.02x = 430,656.80
  5. Step 5: Solve for x
    x = 430,656.80/617.02
  6. Step 6: Final answer
    x = 697.96

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.