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Finding the Fourth Proportional to 669.92, 924.32 and 386.35

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Solution

The fourth proportional to 669.92, 924.32 and 386.35 is: 533.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.92 : 924.32 = 386.35 : x
  2. Step 2: Convert to fraction form
    669.92/924.32 = 386.35/x
  3. Step 3: Cross multiply
    669.92x = 924.32 × 386.35
  4. Step 4: Simplify right side
    669.92x = 357,109.69
  5. Step 5: Solve for x
    x = 357,109.69/669.92
  6. Step 6: Final answer
    x = 533.07

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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.