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Finding the Fourth Proportional to 467.32, 697.56 and 433.48

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Solution

The fourth proportional to 467.32, 697.56 and 433.48 is: 647.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    467.32 : 697.56 = 433.48 : x
  2. Step 2: Convert to fraction form
    467.32/697.56 = 433.48/x
  3. Step 3: Cross multiply
    467.32x = 697.56 × 433.48
  4. Step 4: Simplify right side
    467.32x = 302,378.31
  5. Step 5: Solve for x
    x = 302,378.31/467.32
  6. Step 6: Final answer
    x = 647.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.