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Finding the Fourth Proportional to 419.60, 578.93 and 264.26

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Solution

The fourth proportional to 419.60, 578.93 and 264.26 is: 364.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.60 : 578.93 = 264.26 : x
  2. Step 2: Convert to fraction form
    419.60/578.93 = 264.26/x
  3. Step 3: Cross multiply
    419.60x = 578.93 × 264.26
  4. Step 4: Simplify right side
    419.60x = 152,988.04
  5. Step 5: Solve for x
    x = 152,988.04/419.60
  6. Step 6: Final answer
    x = 364.60

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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.