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Finding the Fourth Proportional to 577.07, 865.60 and 144.23

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Solution

The fourth proportional to 577.07, 865.60 and 144.23 is: 216.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    577.07 : 865.60 = 144.23 : x
  2. Step 2: Convert to fraction form
    577.07/865.60 = 144.23/x
  3. Step 3: Cross multiply
    577.07x = 865.60 × 144.23
  4. Step 4: Simplify right side
    577.07x = 124,845.49
  5. Step 5: Solve for x
    x = 124,845.49/577.07
  6. Step 6: Final answer
    x = 216.34

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1.5x scale

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.