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Finding the Fourth Proportional to 423.07, 633.27 and 313.32

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Solution

The fourth proportional to 423.07, 633.27 and 313.32 is: 468.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.07 : 633.27 = 313.32 : x
  2. Step 2: Convert to fraction form
    423.07/633.27 = 313.32/x
  3. Step 3: Cross multiply
    423.07x = 633.27 × 313.32
  4. Step 4: Simplify right side
    423.07x = 198,416.16
  5. Step 5: Solve for x
    x = 198,416.16/423.07
  6. Step 6: Final answer
    x = 468.99

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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.