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Finding the Fourth Proportional to 610.02, 842.22 and 433.37

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Solution

The fourth proportional to 610.02, 842.22 and 433.37 is: 598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.02 : 842.22 = 433.37 : x
  2. Step 2: Convert to fraction form
    610.02/842.22 = 433.37/x
  3. Step 3: Cross multiply
    610.02x = 842.22 × 433.37
  4. Step 4: Simplify right side
    610.02x = 364,988.67
  5. Step 5: Solve for x
    x = 364,988.67/610.02
  6. Step 6: Final answer
    x = 598.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.