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Finding the Fourth Proportional to 644.42, 888.95 and 457.98

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Solution

The fourth proportional to 644.42, 888.95 and 457.98 is: 631.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.42 : 888.95 = 457.98 : x
  2. Step 2: Convert to fraction form
    644.42/888.95 = 457.98/x
  3. Step 3: Cross multiply
    644.42x = 888.95 × 457.98
  4. Step 4: Simplify right side
    644.42x = 407,122.47
  5. Step 5: Solve for x
    x = 407,122.47/644.42
  6. Step 6: Final answer
    x = 631.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.