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Finding the Fourth Proportional to 610.19, 842.10 and 361.45

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Solution

The fourth proportional to 610.19, 842.10 and 361.45 is: 498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.19 : 842.10 = 361.45 : x
  2. Step 2: Convert to fraction form
    610.19/842.10 = 361.45/x
  3. Step 3: Cross multiply
    610.19x = 842.10 × 361.45
  4. Step 4: Simplify right side
    610.19x = 304,376.74
  5. Step 5: Solve for x
    x = 304,376.74/610.19
  6. Step 6: Final answer
    x = 498.82

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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.