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Finding the Fourth Proportional to 566.51, 849.77 and 374.09

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Solution

The fourth proportional to 566.51, 849.77 and 374.09 is: 561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.51 : 849.77 = 374.09 : x
  2. Step 2: Convert to fraction form
    566.51/849.77 = 374.09/x
  3. Step 3: Cross multiply
    566.51x = 849.77 × 374.09
  4. Step 4: Simplify right side
    566.51x = 317,888.59
  5. Step 5: Solve for x
    x = 317,888.59/566.51
  6. Step 6: Final answer
    x = 561.14

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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.