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Finding the Fourth Proportional to 530.75, 732.44 and 334.19

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Solution

The fourth proportional to 530.75, 732.44 and 334.19 is: 461.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.75 : 732.44 = 334.19 : x
  2. Step 2: Convert to fraction form
    530.75/732.44 = 334.19/x
  3. Step 3: Cross multiply
    530.75x = 732.44 × 334.19
  4. Step 4: Simplify right side
    530.75x = 244,776.79
  5. Step 5: Solve for x
    x = 244,776.79/530.75
  6. Step 6: Final answer
    x = 461.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.