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Finding the Fourth Proportional to 434.59, 600.53 and 310.03

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Solution

The fourth proportional to 434.59, 600.53 and 310.03 is: 428.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.59 : 600.53 = 310.03 : x
  2. Step 2: Convert to fraction form
    434.59/600.53 = 310.03/x
  3. Step 3: Cross multiply
    434.59x = 600.53 × 310.03
  4. Step 4: Simplify right side
    434.59x = 186,182.32
  5. Step 5: Solve for x
    x = 186,182.32/434.59
  6. Step 6: Final answer
    x = 428.41

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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.