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Finding the Fourth Proportional to 466.84, 695.57 and 442

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Solution

The fourth proportional to 466.84, 695.57 and 442 is: 658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.84 : 695.57 = 442 : x
  2. Step 2: Convert to fraction form
    466.84/695.57 = 442/x
  3. Step 3: Cross multiply
    466.84x = 695.57 × 442
  4. Step 4: Simplify right side
    466.84x = 307,441.94
  5. Step 5: Solve for x
    x = 307,441.94/466.84
  6. Step 6: Final answer
    x = 658.56

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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.