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Finding the Fourth Proportional to 433.16, 597.86 and 285.52

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Solution

The fourth proportional to 433.16, 597.86 and 285.52 is: 394.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 597.86 = 285.52 : x
  2. Step 2: Convert to fraction form
    433.16/597.86 = 285.52/x
  3. Step 3: Cross multiply
    433.16x = 597.86 × 285.52
  4. Step 4: Simplify right side
    433.16x = 170,700.99
  5. Step 5: Solve for x
    x = 170,700.99/433.16
  6. Step 6: Final answer
    x = 394.08

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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.