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Finding the Fourth Proportional to 566.03, 849.47 and 421.31

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Solution

The fourth proportional to 566.03, 849.47 and 421.31 is: 632.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.03 : 849.47 = 421.31 : x
  2. Step 2: Convert to fraction form
    566.03/849.47 = 421.31/x
  3. Step 3: Cross multiply
    566.03x = 849.47 × 421.31
  4. Step 4: Simplify right side
    566.03x = 357,888.10
  5. Step 5: Solve for x
    x = 357,888.10/566.03
  6. Step 6: Final answer
    x = 632.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.