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Finding the Fourth Proportional to 633.53, 874.46 and 424.01

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Solution

The fourth proportional to 633.53, 874.46 and 424.01 is: 585.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    633.53 : 874.46 = 424.01 : x
  2. Step 2: Convert to fraction form
    633.53/874.46 = 424.01/x
  3. Step 3: Cross multiply
    633.53x = 874.46 × 424.01
  4. Step 4: Simplify right side
    633.53x = 370,779.78
  5. Step 5: Solve for x
    x = 370,779.78/633.53
  6. Step 6: Final answer
    x = 585.26

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Why These Related Problems?

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