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Finding the Fourth Proportional to 535.07, 738.74 and 410.51

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Solution

The fourth proportional to 535.07, 738.74 and 410.51 is: 566.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.07 : 738.74 = 410.51 : x
  2. Step 2: Convert to fraction form
    535.07/738.74 = 410.51/x
  3. Step 3: Cross multiply
    535.07x = 738.74 × 410.51
  4. Step 4: Simplify right side
    535.07x = 303,263.03
  5. Step 5: Solve for x
    x = 303,263.03/535.07
  6. Step 6: Final answer
    x = 566.77

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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.