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Finding the Fourth Proportional to 468.36, 646.32 and 313

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Solution

The fourth proportional to 468.36, 646.32 and 313 is: 431.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.36 : 646.32 = 313 : x
  2. Step 2: Convert to fraction form
    468.36/646.32 = 313/x
  3. Step 3: Cross multiply
    468.36x = 646.32 × 313
  4. Step 4: Simplify right side
    468.36x = 202,298.16
  5. Step 5: Solve for x
    x = 202,298.16/468.36
  6. Step 6: Final answer
    x = 431.93

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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.