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Finding the Fourth Proportional to 435.70, 601.58 and 311.49

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Solution

The fourth proportional to 435.70, 601.58 and 311.49 is: 430.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.70 : 601.58 = 311.49 : x
  2. Step 2: Convert to fraction form
    435.70/601.58 = 311.49/x
  3. Step 3: Cross multiply
    435.70x = 601.58 × 311.49
  4. Step 4: Simplify right side
    435.70x = 187,386.93
  5. Step 5: Solve for x
    x = 187,386.93/435.70
  6. Step 6: Final answer
    x = 430.08

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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.