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Finding the Fourth Proportional to 566.50, 850.53 and 405.10

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Solution

The fourth proportional to 566.50, 850.53 and 405.10 is: 608.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.50 : 850.53 = 405.10 : x
  2. Step 2: Convert to fraction form
    566.50/850.53 = 405.10/x
  3. Step 3: Cross multiply
    566.50x = 850.53 × 405.10
  4. Step 4: Simplify right side
    566.50x = 344,549.70
  5. Step 5: Solve for x
    x = 344,549.70/566.50
  6. Step 6: Final answer
    x = 608.21

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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.