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Finding the Fourth Proportional to 583.67, 874.74 and 275.47

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Solution

The fourth proportional to 583.67, 874.74 and 275.47 is: 412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.67 : 874.74 = 275.47 : x
  2. Step 2: Convert to fraction form
    583.67/874.74 = 275.47/x
  3. Step 3: Cross multiply
    583.67x = 874.74 × 275.47
  4. Step 4: Simplify right side
    583.67x = 240,964.63
  5. Step 5: Solve for x
    x = 240,964.63/583.67
  6. Step 6: Final answer
    x = 412.84

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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.