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Finding the Fourth Proportional to 495.93, 684.05 and 288.93

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Solution

The fourth proportional to 495.93, 684.05 and 288.93 is: 398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.93 : 684.05 = 288.93 : x
  2. Step 2: Convert to fraction form
    495.93/684.05 = 288.93/x
  3. Step 3: Cross multiply
    495.93x = 684.05 × 288.93
  4. Step 4: Simplify right side
    495.93x = 197,641.12
  5. Step 5: Solve for x
    x = 197,641.12/495.93
  6. Step 6: Final answer
    x = 398.53

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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.