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Finding the Fourth Proportional to 535.04, 737.90 and 465.08

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Solution

The fourth proportional to 535.04, 737.90 and 465.08 is: 641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.04 : 737.90 = 465.08 : x
  2. Step 2: Convert to fraction form
    535.04/737.90 = 465.08/x
  3. Step 3: Cross multiply
    535.04x = 737.90 × 465.08
  4. Step 4: Simplify right side
    535.04x = 343,182.53
  5. Step 5: Solve for x
    x = 343,182.53/535.04
  6. Step 6: Final answer
    x = 641.41

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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.