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Finding the Fourth Proportional to 603.64, 904.02 and 458.20

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Solution

The fourth proportional to 603.64, 904.02 and 458.20 is: 686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.64 : 904.02 = 458.20 : x
  2. Step 2: Convert to fraction form
    603.64/904.02 = 458.20/x
  3. Step 3: Cross multiply
    603.64x = 904.02 × 458.20
  4. Step 4: Simplify right side
    603.64x = 414,221.96
  5. Step 5: Solve for x
    x = 414,221.96/603.64
  6. Step 6: Final answer
    x = 686.21

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Why These Related Problems?

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