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Finding the Fourth Proportional to 663.48, 912.96 and 497.16

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Solution

The fourth proportional to 663.48, 912.96 and 497.16 is: 684.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.48 : 912.96 = 497.16 : x
  2. Step 2: Convert to fraction form
    663.48/912.96 = 497.16/x
  3. Step 3: Cross multiply
    663.48x = 912.96 × 497.16
  4. Step 4: Simplify right side
    663.48x = 453,887.19
  5. Step 5: Solve for x
    x = 453,887.19/663.48
  6. Step 6: Final answer
    x = 684.10

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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.