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Finding the Fourth Proportional to 603, 904.64 and 310.38

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Solution

The fourth proportional to 603, 904.64 and 310.38 is: 465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    603 : 904.64 = 310.38 : x
  2. Step 2: Convert to fraction form
    603/904.64 = 310.38/x
  3. Step 3: Cross multiply
    603x = 904.64 × 310.38
  4. Step 4: Simplify right side
    603x = 280,782.16
  5. Step 5: Solve for x
    x = 280,782.16/603
  6. Step 6: Final answer
    x = 465.64

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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.