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Finding the Fourth Proportional to 601.16, 829.70 and 474.83

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Solution

The fourth proportional to 601.16, 829.70 and 474.83 is: 655.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.16 : 829.70 = 474.83 : x
  2. Step 2: Convert to fraction form
    601.16/829.70 = 474.83/x
  3. Step 3: Cross multiply
    601.16x = 829.70 × 474.83
  4. Step 4: Simplify right side
    601.16x = 393,964.08
  5. Step 5: Solve for x
    x = 393,964.08/601.16
  6. Step 6: Final answer
    x = 655.35

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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.