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Finding the Fourth Proportional to 522.34, 783.06 and 375.70

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Solution

The fourth proportional to 522.34, 783.06 and 375.70 is: 563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.34 : 783.06 = 375.70 : x
  2. Step 2: Convert to fraction form
    522.34/783.06 = 375.70/x
  3. Step 3: Cross multiply
    522.34x = 783.06 × 375.70
  4. Step 4: Simplify right side
    522.34x = 294,195.64
  5. Step 5: Solve for x
    x = 294,195.64/522.34
  6. Step 6: Final answer
    x = 563.23

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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.