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Finding the Fourth Proportional to 421.53, 581.70 and 235.02

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Solution

The fourth proportional to 421.53, 581.70 and 235.02 is: 324.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    421.53 : 581.70 = 235.02 : x
  2. Step 2: Convert to fraction form
    421.53/581.70 = 235.02/x
  3. Step 3: Cross multiply
    421.53x = 581.70 × 235.02
  4. Step 4: Simplify right side
    421.53x = 136,711.13
  5. Step 5: Solve for x
    x = 136,711.13/421.53
  6. Step 6: Final answer
    x = 324.32

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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.