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Finding the Fourth Proportional to 419.32, 578.40 and 264.16

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Solution

The fourth proportional to 419.32, 578.40 and 264.16 is: 364.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.32 : 578.40 = 264.16 : x
  2. Step 2: Convert to fraction form
    419.32/578.40 = 264.16/x
  3. Step 3: Cross multiply
    419.32x = 578.40 × 264.16
  4. Step 4: Simplify right side
    419.32x = 152,790.14
  5. Step 5: Solve for x
    x = 152,790.14/419.32
  6. Step 6: Final answer
    x = 364.38

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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.