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Finding the Fourth Proportional to 430.72, 647.29 and 277.02

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Solution

The fourth proportional to 430.72, 647.29 and 277.02 is: 416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    430.72 : 647.29 = 277.02 : x
  2. Step 2: Convert to fraction form
    430.72/647.29 = 277.02/x
  3. Step 3: Cross multiply
    430.72x = 647.29 × 277.02
  4. Step 4: Simplify right side
    430.72x = 179,312.28
  5. Step 5: Solve for x
    x = 179,312.28/430.72
  6. Step 6: Final answer
    x = 416.31

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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.