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Finding the Fourth Proportional to 610.84, 842.34 and 435.88

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Solution

The fourth proportional to 610.84, 842.34 and 435.88 is: 601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.84 : 842.34 = 435.88 : x
  2. Step 2: Convert to fraction form
    610.84/842.34 = 435.88/x
  3. Step 3: Cross multiply
    610.84x = 842.34 × 435.88
  4. Step 4: Simplify right side
    610.84x = 367,159.16
  5. Step 5: Solve for x
    x = 367,159.16/610.84
  6. Step 6: Final answer
    x = 601.07

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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.