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Finding the Fourth Proportional to 423.30, 633.72 and 313.40

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Solution

The fourth proportional to 423.30, 633.72 and 313.40 is: 469.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.30 : 633.72 = 313.40 : x
  2. Step 2: Convert to fraction form
    423.30/633.72 = 313.40/x
  3. Step 3: Cross multiply
    423.30x = 633.72 × 313.40
  4. Step 4: Simplify right side
    423.30x = 198,607.85
  5. Step 5: Solve for x
    x = 198,607.85/423.30
  6. Step 6: Final answer
    x = 469.19

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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.