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Finding the Fourth Proportional to 729.04, 1,006.06 and 430.48

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Solution

The fourth proportional to 729.04, 1,006.06 and 430.48 is: 594.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.04 : 1,006.06 = 430.48 : x
  2. Step 2: Convert to fraction form
    729.04/1,006.06 = 430.48/x
  3. Step 3: Cross multiply
    729.04x = 1,006.06 × 430.48
  4. Step 4: Simplify right side
    729.04x = 433,088.71
  5. Step 5: Solve for x
    x = 433,088.71/729.04
  6. Step 6: Final answer
    x = 594.05

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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.