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Finding the Fourth Proportional to 603.06, 904.72 and 314.42

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Solution

The fourth proportional to 603.06, 904.72 and 314.42 is: 471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.06 : 904.72 = 314.42 : x
  2. Step 2: Convert to fraction form
    603.06/904.72 = 314.42/x
  3. Step 3: Cross multiply
    603.06x = 904.72 × 314.42
  4. Step 4: Simplify right side
    603.06x = 284,462.06
  5. Step 5: Solve for x
    x = 284,462.06/603.06
  6. Step 6: Final answer
    x = 471.70

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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.