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Finding the Fourth Proportional to 601.84, 830.58 and 339.92

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Solution

The fourth proportional to 601.84, 830.58 and 339.92 is: 469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.84 : 830.58 = 339.92 : x
  2. Step 2: Convert to fraction form
    601.84/830.58 = 339.92/x
  3. Step 3: Cross multiply
    601.84x = 830.58 × 339.92
  4. Step 4: Simplify right side
    601.84x = 282,330.75
  5. Step 5: Solve for x
    x = 282,330.75/601.84
  6. Step 6: Final answer
    x = 469.11

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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.