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Finding the Fourth Proportional to 603.60, 904.14 and 314.16

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Solution

The fourth proportional to 603.60, 904.14 and 314.16 is: 470.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    603.60 : 904.14 = 314.16 : x
  2. Step 2: Convert to fraction form
    603.60/904.14 = 314.16/x
  3. Step 3: Cross multiply
    603.60x = 904.14 × 314.16
  4. Step 4: Simplify right side
    603.60x = 284,044.62
  5. Step 5: Solve for x
    x = 284,044.62/603.60
  6. Step 6: Final answer
    x = 470.58

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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.