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Finding the Fourth Proportional to 633.18, 946.23 and 598.08

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Solution

The fourth proportional to 633.18, 946.23 and 598.08 is: 893.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.18 : 946.23 = 598.08 : x
  2. Step 2: Convert to fraction form
    633.18/946.23 = 598.08/x
  3. Step 3: Cross multiply
    633.18x = 946.23 × 598.08
  4. Step 4: Simplify right side
    633.18x = 565,921.24
  5. Step 5: Solve for x
    x = 565,921.24/633.18
  6. Step 6: Final answer
    x = 893.78

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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.