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Finding the Fourth Proportional to 530.69, 731.97 and 334.17

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Solution

The fourth proportional to 530.69, 731.97 and 334.17 is: 460.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.69 : 731.97 = 334.17 : x
  2. Step 2: Convert to fraction form
    530.69/731.97 = 334.17/x
  3. Step 3: Cross multiply
    530.69x = 731.97 × 334.17
  4. Step 4: Simplify right side
    530.69x = 244,602.41
  5. Step 5: Solve for x
    x = 244,602.41/530.69
  6. Step 6: Final answer
    x = 460.92

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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.