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Finding the Fourth Proportional to 535.33, 737.04 and 466.30

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Solution

The fourth proportional to 535.33, 737.04 and 466.30 is: 642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.33 : 737.04 = 466.30 : x
  2. Step 2: Convert to fraction form
    535.33/737.04 = 466.30/x
  3. Step 3: Cross multiply
    535.33x = 737.04 × 466.30
  4. Step 4: Simplify right side
    535.33x = 343,681.75
  5. Step 5: Solve for x
    x = 343,681.75/535.33
  6. Step 6: Final answer
    x = 642.00

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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.