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Finding the Fourth Proportional to 471.03, 705.63 and 316.53

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Solution

The fourth proportional to 471.03, 705.63 and 316.53 is: 474.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.03 : 705.63 = 316.53 : x
  2. Step 2: Convert to fraction form
    471.03/705.63 = 316.53/x
  3. Step 3: Cross multiply
    471.03x = 705.63 × 316.53
  4. Step 4: Simplify right side
    471.03x = 223,353.06
  5. Step 5: Solve for x
    x = 223,353.06/471.03
  6. Step 6: Final answer
    x = 474.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.