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Finding the Fourth Proportional to 468.04, 645.96 and 313.06

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Solution

The fourth proportional to 468.04, 645.96 and 313.06 is: 432.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.04 : 645.96 = 313.06 : x
  2. Step 2: Convert to fraction form
    468.04/645.96 = 313.06/x
  3. Step 3: Cross multiply
    468.04x = 645.96 × 313.06
  4. Step 4: Simplify right side
    468.04x = 202,224.24
  5. Step 5: Solve for x
    x = 202,224.24/468.04
  6. Step 6: Final answer
    x = 432.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.