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Finding the Fourth Proportional to 285.19, 430.34 and 275.02

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Solution

The fourth proportional to 285.19, 430.34 and 275.02 is: 414.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.19 : 430.34 = 275.02 : x
  2. Step 2: Convert to fraction form
    285.19/430.34 = 275.02/x
  3. Step 3: Cross multiply
    285.19x = 430.34 × 275.02
  4. Step 4: Simplify right side
    285.19x = 118,352.11
  5. Step 5: Solve for x
    x = 118,352.11/285.19
  6. Step 6: Final answer
    x = 414.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.