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Finding the Fourth Proportional to 419.39, 578.76 and 242.35

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Solution

The fourth proportional to 419.39, 578.76 and 242.35 is: 334.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.39 : 578.76 = 242.35 : x
  2. Step 2: Convert to fraction form
    419.39/578.76 = 242.35/x
  3. Step 3: Cross multiply
    419.39x = 578.76 × 242.35
  4. Step 4: Simplify right side
    419.39x = 140,263.21
  5. Step 5: Solve for x
    x = 140,263.21/419.39
  6. Step 6: Final answer
    x = 334.44

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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.