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Finding the Fourth Proportional to 603.24, 904.26 and 458.52

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Solution

The fourth proportional to 603.24, 904.26 and 458.52 is: 687.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.24 : 904.26 = 458.52 : x
  2. Step 2: Convert to fraction form
    603.24/904.26 = 458.52/x
  3. Step 3: Cross multiply
    603.24x = 904.26 × 458.52
  4. Step 4: Simplify right side
    603.24x = 414,621.30
  5. Step 5: Solve for x
    x = 414,621.30/603.24
  6. Step 6: Final answer
    x = 687.32

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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.