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Finding the Fourth Proportional to 598.64, 899.78 and 438.26

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Solution

The fourth proportional to 598.64, 899.78 and 438.26 is: 658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.64 : 899.78 = 438.26 : x
  2. Step 2: Convert to fraction form
    598.64/899.78 = 438.26/x
  3. Step 3: Cross multiply
    598.64x = 899.78 × 438.26
  4. Step 4: Simplify right side
    598.64x = 394,330.89
  5. Step 5: Solve for x
    x = 394,330.89/598.64
  6. Step 6: Final answer
    x = 658.72

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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.