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Finding the Fourth Proportional to 530.75, 732.44 and 297.88

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Solution

The fourth proportional to 530.75, 732.44 and 297.88 is: 411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.75 : 732.44 = 297.88 : x
  2. Step 2: Convert to fraction form
    530.75/732.44 = 297.88/x
  3. Step 3: Cross multiply
    530.75x = 732.44 × 297.88
  4. Step 4: Simplify right side
    530.75x = 218,179.23
  5. Step 5: Solve for x
    x = 218,179.23/530.75
  6. Step 6: Final answer
    x = 411.08

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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.