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Finding the Fourth Proportional to 633.83, 944.46 and 557.28

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Solution

The fourth proportional to 633.83, 944.46 and 557.28 is: 830.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.83 : 944.46 = 557.28 : x
  2. Step 2: Convert to fraction form
    633.83/944.46 = 557.28/x
  3. Step 3: Cross multiply
    633.83x = 944.46 × 557.28
  4. Step 4: Simplify right side
    633.83x = 526,328.67
  5. Step 5: Solve for x
    x = 526,328.67/633.83
  6. Step 6: Final answer
    x = 830.40

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Why These Related Problems?

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