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Finding the Fourth Proportional to 603.90, 904.10 and 546.26

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Solution

The fourth proportional to 603.90, 904.10 and 546.26 is: 817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.90 : 904.10 = 546.26 : x
  2. Step 2: Convert to fraction form
    603.90/904.10 = 546.26/x
  3. Step 3: Cross multiply
    603.90x = 904.10 × 546.26
  4. Step 4: Simplify right side
    603.90x = 493,866.41
  5. Step 5: Solve for x
    x = 493,866.41/603.90
  6. Step 6: Final answer
    x = 817.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.