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Finding the Fourth Proportional to 307.84, 424.54 and 242.23

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Solution

The fourth proportional to 307.84, 424.54 and 242.23 is: 334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.84 : 424.54 = 242.23 : x
  2. Step 2: Convert to fraction form
    307.84/424.54 = 242.23/x
  3. Step 3: Cross multiply
    307.84x = 424.54 × 242.23
  4. Step 4: Simplify right side
    307.84x = 102,836.32
  5. Step 5: Solve for x
    x = 102,836.32/307.84
  6. Step 6: Final answer
    x = 334.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.