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Finding the Fourth Proportional to 433.76, 598.20 and 317.12

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Solution

The fourth proportional to 433.76, 598.20 and 317.12 is: 437.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.76 : 598.20 = 317.12 : x
  2. Step 2: Convert to fraction form
    433.76/598.20 = 317.12/x
  3. Step 3: Cross multiply
    433.76x = 598.20 × 317.12
  4. Step 4: Simplify right side
    433.76x = 189,701.18
  5. Step 5: Solve for x
    x = 189,701.18/433.76
  6. Step 6: Final answer
    x = 437.34

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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.