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Finding the Fourth Proportional to 312.36, 469.55 and 302.64

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Solution

The fourth proportional to 312.36, 469.55 and 302.64 is: 454.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.36 : 469.55 = 302.64 : x
  2. Step 2: Convert to fraction form
    312.36/469.55 = 302.64/x
  3. Step 3: Cross multiply
    312.36x = 469.55 × 302.64
  4. Step 4: Simplify right side
    312.36x = 142,104.61
  5. Step 5: Solve for x
    x = 142,104.61/312.36
  6. Step 6: Final answer
    x = 454.94

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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.