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Finding the Fourth Proportional to 522.12, 783.54 and 412.20

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Solution

The fourth proportional to 522.12, 783.54 and 412.20 is: 618.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.12 : 783.54 = 412.20 : x
  2. Step 2: Convert to fraction form
    522.12/783.54 = 412.20/x
  3. Step 3: Cross multiply
    522.12x = 783.54 × 412.20
  4. Step 4: Simplify right side
    522.12x = 322,975.19
  5. Step 5: Solve for x
    x = 322,975.19/522.12
  6. Step 6: Final answer
    x = 618.58

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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.