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Finding the Fourth Proportional to 430.89, 646.48 and 157.01

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Solution

The fourth proportional to 430.89, 646.48 and 157.01 is: 235.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.89 : 646.48 = 157.01 : x
  2. Step 2: Convert to fraction form
    430.89/646.48 = 157.01/x
  3. Step 3: Cross multiply
    430.89x = 646.48 × 157.01
  4. Step 4: Simplify right side
    430.89x = 101,500.79
  5. Step 5: Solve for x
    x = 101,500.79/430.89
  6. Step 6: Final answer
    x = 235.56

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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.