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Finding the Fourth Proportional to 530.81, 731.79 and 514.67

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Solution

The fourth proportional to 530.81, 731.79 and 514.67 is: 709.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.81 : 731.79 = 514.67 : x
  2. Step 2: Convert to fraction form
    530.81/731.79 = 514.67/x
  3. Step 3: Cross multiply
    530.81x = 731.79 × 514.67
  4. Step 4: Simplify right side
    530.81x = 376,630.36
  5. Step 5: Solve for x
    x = 376,630.36/530.81
  6. Step 6: Final answer
    x = 709.54

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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.