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Finding the Fourth Proportional to 684.48, 946.08 and 529.92

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Solution

The fourth proportional to 684.48, 946.08 and 529.92 is: 732.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.48 : 946.08 = 529.92 : x
  2. Step 2: Convert to fraction form
    684.48/946.08 = 529.92/x
  3. Step 3: Cross multiply
    684.48x = 946.08 × 529.92
  4. Step 4: Simplify right side
    684.48x = 501,346.71
  5. Step 5: Solve for x
    x = 501,346.71/684.48
  6. Step 6: Final answer
    x = 732.45

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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.