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Finding the Fourth Proportional to 476.75, 710.79 and 464.75

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Solution

The fourth proportional to 476.75, 710.79 and 464.75 is: 692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.75 : 710.79 = 464.75 : x
  2. Step 2: Convert to fraction form
    476.75/710.79 = 464.75/x
  3. Step 3: Cross multiply
    476.75x = 710.79 × 464.75
  4. Step 4: Simplify right side
    476.75x = 330,337.02
  5. Step 5: Solve for x
    x = 330,337.02/476.75
  6. Step 6: Final answer
    x = 692.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.