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Finding the Fourth Proportional to 534.64, 737.53 and 416.40

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Solution

The fourth proportional to 534.64, 737.53 and 416.40 is: 574.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.64 : 737.53 = 416.40 : x
  2. Step 2: Convert to fraction form
    534.64/737.53 = 416.40/x
  3. Step 3: Cross multiply
    534.64x = 737.53 × 416.40
  4. Step 4: Simplify right side
    534.64x = 307,103.80
  5. Step 5: Solve for x
    x = 307,103.80/534.64
  6. Step 6: Final answer
    x = 574.42

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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.