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Finding the Fourth Proportional to 528.93, 729.86 and 296.06

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Solution

The fourth proportional to 528.93, 729.86 and 296.06 is: 408.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.93 : 729.86 = 296.06 : x
  2. Step 2: Convert to fraction form
    528.93/729.86 = 296.06/x
  3. Step 3: Cross multiply
    528.93x = 729.86 × 296.06
  4. Step 4: Simplify right side
    528.93x = 216,077.22
  5. Step 5: Solve for x
    x = 216,077.22/528.93
  6. Step 6: Final answer
    x = 408.52

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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.