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Finding the Fourth Proportional to 639.93, 883.53 and 430.58

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Solution

The fourth proportional to 639.93, 883.53 and 430.58 is: 594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    639.93 : 883.53 = 430.58 : x
  2. Step 2: Convert to fraction form
    639.93/883.53 = 430.58/x
  3. Step 3: Cross multiply
    639.93x = 883.53 × 430.58
  4. Step 4: Simplify right side
    639.93x = 380,430.35
  5. Step 5: Solve for x
    x = 380,430.35/639.93
  6. Step 6: Final answer
    x = 594.49

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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.