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Finding the Fourth Proportional to 535.01, 738.05 and 416.77

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Solution

The fourth proportional to 535.01, 738.05 and 416.77 is: 574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.01 : 738.05 = 416.77 : x
  2. Step 2: Convert to fraction form
    535.01/738.05 = 416.77/x
  3. Step 3: Cross multiply
    535.01x = 738.05 × 416.77
  4. Step 4: Simplify right side
    535.01x = 307,597.10
  5. Step 5: Solve for x
    x = 307,597.10/535.01
  6. Step 6: Final answer
    x = 574.94

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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.