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Finding the Fourth Proportional to 430.87, 646.02 and 153.16

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Solution

The fourth proportional to 430.87, 646.02 and 153.16 is: 229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.87 : 646.02 = 153.16 : x
  2. Step 2: Convert to fraction form
    430.87/646.02 = 153.16/x
  3. Step 3: Cross multiply
    430.87x = 646.02 × 153.16
  4. Step 4: Simplify right side
    430.87x = 98,944.42
  5. Step 5: Solve for x
    x = 98,944.42/430.87
  6. Step 6: Final answer
    x = 229.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.