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Finding the Fourth Proportional to 566.79, 849.10 and 436.60

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Solution

The fourth proportional to 566.79, 849.10 and 436.60 is: 654.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.79 : 849.10 = 436.60 : x
  2. Step 2: Convert to fraction form
    566.79/849.10 = 436.60/x
  3. Step 3: Cross multiply
    566.79x = 849.10 × 436.60
  4. Step 4: Simplify right side
    566.79x = 370,712.81
  5. Step 5: Solve for x
    x = 370,712.81/566.79
  6. Step 6: Final answer
    x = 654.06

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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.