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Finding the Fourth Proportional to 430.54, 594.15 and 281.25

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Solution

The fourth proportional to 430.54, 594.15 and 281.25 is: 388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.54 : 594.15 = 281.25 : x
  2. Step 2: Convert to fraction form
    430.54/594.15 = 281.25/x
  3. Step 3: Cross multiply
    430.54x = 594.15 × 281.25
  4. Step 4: Simplify right side
    430.54x = 167,104.69
  5. Step 5: Solve for x
    x = 167,104.69/430.54
  6. Step 6: Final answer
    x = 388.13

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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.