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Finding the Fourth Proportional to 603.32, 904.68 and 295.19

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Solution

The fourth proportional to 603.32, 904.68 and 295.19 is: 442.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.32 : 904.68 = 295.19 : x
  2. Step 2: Convert to fraction form
    603.32/904.68 = 295.19/x
  3. Step 3: Cross multiply
    603.32x = 904.68 × 295.19
  4. Step 4: Simplify right side
    603.32x = 267,052.49
  5. Step 5: Solve for x
    x = 267,052.49/603.32
  6. Step 6: Final answer
    x = 442.64

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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.