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Finding the Fourth Proportional to 566.64, 849.56 and 278.01

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Solution

The fourth proportional to 566.64, 849.56 and 278.01 is: 416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.64 : 849.56 = 278.01 : x
  2. Step 2: Convert to fraction form
    566.64/849.56 = 278.01/x
  3. Step 3: Cross multiply
    566.64x = 849.56 × 278.01
  4. Step 4: Simplify right side
    566.64x = 236,184.79
  5. Step 5: Solve for x
    x = 236,184.79/566.64
  6. Step 6: Final answer
    x = 416.82

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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.