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Finding the Fourth Proportional to 528.95, 729.61 and 412.79

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Solution

The fourth proportional to 528.95, 729.61 and 412.79 is: 569.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.95 : 729.61 = 412.79 : x
  2. Step 2: Convert to fraction form
    528.95/729.61 = 412.79/x
  3. Step 3: Cross multiply
    528.95x = 729.61 × 412.79
  4. Step 4: Simplify right side
    528.95x = 301,175.71
  5. Step 5: Solve for x
    x = 301,175.71/528.95
  6. Step 6: Final answer
    x = 569.38

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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.