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Finding the Fourth Proportional to 419.18, 578.50 and 242.16

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Solution

The fourth proportional to 419.18, 578.50 and 242.16 is: 334.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.18 : 578.50 = 242.16 : x
  2. Step 2: Convert to fraction form
    419.18/578.50 = 242.16/x
  3. Step 3: Cross multiply
    419.18x = 578.50 × 242.16
  4. Step 4: Simplify right side
    419.18x = 140,089.56
  5. Step 5: Solve for x
    x = 140,089.56/419.18
  6. Step 6: Final answer
    x = 334.20

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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.