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Finding the Fourth Proportional to 577.74, 866.47 and 285.10

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Solution

The fourth proportional to 577.74, 866.47 and 285.10 is: 427.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.74 : 866.47 = 285.10 : x
  2. Step 2: Convert to fraction form
    577.74/866.47 = 285.10/x
  3. Step 3: Cross multiply
    577.74x = 866.47 × 285.10
  4. Step 4: Simplify right side
    577.74x = 247,030.60
  5. Step 5: Solve for x
    x = 247,030.60/577.74
  6. Step 6: Final answer
    x = 427.58

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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.