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Finding the Fourth Proportional to 528.95, 729.96 and 319.14

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Solution

The fourth proportional to 528.95, 729.96 and 319.14 is: 440.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.95 : 729.96 = 319.14 : x
  2. Step 2: Convert to fraction form
    528.95/729.96 = 319.14/x
  3. Step 3: Cross multiply
    528.95x = 729.96 × 319.14
  4. Step 4: Simplify right side
    528.95x = 232,954.19
  5. Step 5: Solve for x
    x = 232,954.19/528.95
  6. Step 6: Final answer
    x = 440.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.