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Finding the Fourth Proportional to 678.53, 936.94 and 430.29

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Solution

The fourth proportional to 678.53, 936.94 and 430.29 is: 594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.53 : 936.94 = 430.29 : x
  2. Step 2: Convert to fraction form
    678.53/936.94 = 430.29/x
  3. Step 3: Cross multiply
    678.53x = 936.94 × 430.29
  4. Step 4: Simplify right side
    678.53x = 403,154.22
  5. Step 5: Solve for x
    x = 403,154.22/678.53
  6. Step 6: Final answer
    x = 594.16

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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.