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Finding the Fourth Proportional to 495.39, 678.68 and 476.93

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Solution

The fourth proportional to 495.39, 678.68 and 476.93 is: 653.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.39 : 678.68 = 476.93 : x
  2. Step 2: Convert to fraction form
    495.39/678.68 = 476.93/x
  3. Step 3: Cross multiply
    495.39x = 678.68 × 476.93
  4. Step 4: Simplify right side
    495.39x = 323,677.07
  5. Step 5: Solve for x
    x = 323,677.07/495.39
  6. Step 6: Final answer
    x = 653.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.