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Finding the Fourth Proportional to 529.50, 730.16 and 430.96

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Solution

The fourth proportional to 529.50, 730.16 and 430.96 is: 594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.50 : 730.16 = 430.96 : x
  2. Step 2: Convert to fraction form
    529.50/730.16 = 430.96/x
  3. Step 3: Cross multiply
    529.50x = 730.16 × 430.96
  4. Step 4: Simplify right side
    529.50x = 314,669.75
  5. Step 5: Solve for x
    x = 314,669.75/529.50
  6. Step 6: Final answer
    x = 594.28

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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.