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Finding the Fourth Proportional to 535.30, 739.04 and 410.72

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Solution

The fourth proportional to 535.30, 739.04 and 410.72 is: 567.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.30 : 739.04 = 410.72 : x
  2. Step 2: Convert to fraction form
    535.30/739.04 = 410.72/x
  3. Step 3: Cross multiply
    535.30x = 739.04 × 410.72
  4. Step 4: Simplify right side
    535.30x = 303,538.51
  5. Step 5: Solve for x
    x = 303,538.51/535.30
  6. Step 6: Final answer
    x = 567.04

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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.