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Finding the Fourth Proportional to 530.09, 731.43 and 333.66

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Solution

The fourth proportional to 530.09, 731.43 and 333.66 is: 460.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.09 : 731.43 = 333.66 : x
  2. Step 2: Convert to fraction form
    530.09/731.43 = 333.66/x
  3. Step 3: Cross multiply
    530.09x = 731.43 × 333.66
  4. Step 4: Simplify right side
    530.09x = 244,048.93
  5. Step 5: Solve for x
    x = 244,048.93/530.09
  6. Step 6: Final answer
    x = 460.40

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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.