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Finding the Fourth Proportional to 528.83, 729.30 and 360.48

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Solution

The fourth proportional to 528.83, 729.30 and 360.48 is: 497.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.83 : 729.30 = 360.48 : x
  2. Step 2: Convert to fraction form
    528.83/729.30 = 360.48/x
  3. Step 3: Cross multiply
    528.83x = 729.30 × 360.48
  4. Step 4: Simplify right side
    528.83x = 262,896.00
  5. Step 5: Solve for x
    x = 262,896.00/528.83
  6. Step 6: Final answer
    x = 497.13

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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.