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Finding the Fourth Proportional to 601.04, 829.14 and 490.16

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Solution

The fourth proportional to 601.04, 829.14 and 490.16 is: 676.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.04 : 829.14 = 490.16 : x
  2. Step 2: Convert to fraction form
    601.04/829.14 = 490.16/x
  3. Step 3: Cross multiply
    601.04x = 829.14 × 490.16
  4. Step 4: Simplify right side
    601.04x = 406,411.26
  5. Step 5: Solve for x
    x = 406,411.26/601.04
  6. Step 6: Final answer
    x = 676.18

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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.