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Finding the Fourth Proportional to 314.02, 433.13 and 216.01

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Solution

The fourth proportional to 314.02, 433.13 and 216.01 is: 297.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.02 : 433.13 = 216.01 : x
  2. Step 2: Convert to fraction form
    314.02/433.13 = 216.01/x
  3. Step 3: Cross multiply
    314.02x = 433.13 × 216.01
  4. Step 4: Simplify right side
    314.02x = 93,559.87
  5. Step 5: Solve for x
    x = 93,559.87/314.02
  6. Step 6: Final answer
    x = 297.94

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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.