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Finding the Fourth Proportional to 434.98, 652.48 and 110.35

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Solution

The fourth proportional to 434.98, 652.48 and 110.35 is: 165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    434.98 : 652.48 = 110.35 : x
  2. Step 2: Convert to fraction form
    434.98/652.48 = 110.35/x
  3. Step 3: Cross multiply
    434.98x = 652.48 × 110.35
  4. Step 4: Simplify right side
    434.98x = 72,001.71
  5. Step 5: Solve for x
    x = 72,001.71/434.98
  6. Step 6: Final answer
    x = 165.53

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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.