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Finding the Fourth Proportional to 468.48, 644.68 and 432

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Solution

The fourth proportional to 468.48, 644.68 and 432 is: 594.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.48 : 644.68 = 432 : x
  2. Step 2: Convert to fraction form
    468.48/644.68 = 432/x
  3. Step 3: Cross multiply
    468.48x = 644.68 × 432
  4. Step 4: Simplify right side
    468.48x = 278,501.76
  5. Step 5: Solve for x
    x = 278,501.76/468.48
  6. Step 6: Final answer
    x = 594.48

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