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Finding the Fourth Proportional to 666.61, 920.42 and 430.70

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Solution

The fourth proportional to 666.61, 920.42 and 430.70 is: 594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.61 : 920.42 = 430.70 : x
  2. Step 2: Convert to fraction form
    666.61/920.42 = 430.70/x
  3. Step 3: Cross multiply
    666.61x = 920.42 × 430.70
  4. Step 4: Simplify right side
    666.61x = 396,421.59
  5. Step 5: Solve for x
    x = 396,421.59/666.61
  6. Step 6: Final answer
    x = 594.68

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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.