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Finding the Fourth Proportional to 419.34, 578.85 and 264.06

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Solution

The fourth proportional to 419.34, 578.85 and 264.06 is: 364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.34 : 578.85 = 264.06 : x
  2. Step 2: Convert to fraction form
    419.34/578.85 = 264.06/x
  3. Step 3: Cross multiply
    419.34x = 578.85 × 264.06
  4. Step 4: Simplify right side
    419.34x = 152,851.13
  5. Step 5: Solve for x
    x = 152,851.13/419.34
  6. Step 6: Final answer
    x = 364.50

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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.