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Finding the Fourth Proportional to 678.53, 936.83 and 430.00

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Solution

The fourth proportional to 678.53, 936.83 and 430.00 is: 593.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.53 : 936.83 = 430.00 : x
  2. Step 2: Convert to fraction form
    678.53/936.83 = 430.00/x
  3. Step 3: Cross multiply
    678.53x = 936.83 × 430.00
  4. Step 4: Simplify right side
    678.53x = 402,835.63
  5. Step 5: Solve for x
    x = 402,835.63/678.53
  6. Step 6: Final answer
    x = 593.69

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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.