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Finding the Fourth Proportional to 602.84, 832.07 and 341.00

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Solution

The fourth proportional to 602.84, 832.07 and 341.00 is: 470.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.84 : 832.07 = 341.00 : x
  2. Step 2: Convert to fraction form
    602.84/832.07 = 341.00/x
  3. Step 3: Cross multiply
    602.84x = 832.07 × 341.00
  4. Step 4: Simplify right side
    602.84x = 283,738.14
  5. Step 5: Solve for x
    x = 283,738.14/602.84
  6. Step 6: Final answer
    x = 470.67

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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.