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Finding the Fourth Proportional to 673.48, 929.64 and 497.08

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Solution

The fourth proportional to 673.48, 929.64 and 497.08 is: 686.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.48 : 929.64 = 497.08 : x
  2. Step 2: Convert to fraction form
    673.48/929.64 = 497.08/x
  3. Step 3: Cross multiply
    673.48x = 929.64 × 497.08
  4. Step 4: Simplify right side
    673.48x = 462,105.45
  5. Step 5: Solve for x
    x = 462,105.45/673.48
  6. Step 6: Final answer
    x = 686.15

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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.