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Finding the Fourth Proportional to 601.97, 830.75 and 339.99

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Solution

The fourth proportional to 601.97, 830.75 and 339.99 is: 469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.97 : 830.75 = 339.99 : x
  2. Step 2: Convert to fraction form
    601.97/830.75 = 339.99/x
  3. Step 3: Cross multiply
    601.97x = 830.75 × 339.99
  4. Step 4: Simplify right side
    601.97x = 282,444.99
  5. Step 5: Solve for x
    x = 282,444.99/601.97
  6. Step 6: Final answer
    x = 469.20

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