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Finding the Fourth Proportional to 522.40, 783.60 and 401.44

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Solution

The fourth proportional to 522.40, 783.60 and 401.44 is: 602.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.40 : 783.60 = 401.44 : x
  2. Step 2: Convert to fraction form
    522.40/783.60 = 401.44/x
  3. Step 3: Cross multiply
    522.40x = 783.60 × 401.44
  4. Step 4: Simplify right side
    522.40x = 314,568.38
  5. Step 5: Solve for x
    x = 314,568.38/522.40
  6. Step 6: Final answer
    x = 602.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.