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Finding the Fourth Proportional to 626.89, 864.93 and 430.47

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Solution

The fourth proportional to 626.89, 864.93 and 430.47 is: 593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    626.89 : 864.93 = 430.47 : x
  2. Step 2: Convert to fraction form
    626.89/864.93 = 430.47/x
  3. Step 3: Cross multiply
    626.89x = 864.93 × 430.47
  4. Step 4: Simplify right side
    626.89x = 372,326.42
  5. Step 5: Solve for x
    x = 372,326.42/626.89
  6. Step 6: Final answer
    x = 593.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.