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Finding the Fourth Proportional to 530.44, 732.06 and 320.66

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Solution

The fourth proportional to 530.44, 732.06 and 320.66 is: 442.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.44 : 732.06 = 320.66 : x
  2. Step 2: Convert to fraction form
    530.44/732.06 = 320.66/x
  3. Step 3: Cross multiply
    530.44x = 732.06 × 320.66
  4. Step 4: Simplify right side
    530.44x = 234,742.36
  5. Step 5: Solve for x
    x = 234,742.36/530.44
  6. Step 6: Final answer
    x = 442.54

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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.