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Finding the Fourth Proportional to 430.68, 594.08 and 264.96

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Solution

The fourth proportional to 430.68, 594.08 and 264.96 is: 365.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.68 : 594.08 = 264.96 : x
  2. Step 2: Convert to fraction form
    430.68/594.08 = 264.96/x
  3. Step 3: Cross multiply
    430.68x = 594.08 × 264.96
  4. Step 4: Simplify right side
    430.68x = 157,407.44
  5. Step 5: Solve for x
    x = 157,407.44/430.68
  6. Step 6: Final answer
    x = 365.49

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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.