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Finding the Fourth Proportional to 529.25, 729.92 and 430.84

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Solution

The fourth proportional to 529.25, 729.92 and 430.84 is: 594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.25 : 729.92 = 430.84 : x
  2. Step 2: Convert to fraction form
    529.25/729.92 = 430.84/x
  3. Step 3: Cross multiply
    529.25x = 729.92 × 430.84
  4. Step 4: Simplify right side
    529.25x = 314,475.83
  5. Step 5: Solve for x
    x = 314,475.83/529.25
  6. Step 6: Final answer
    x = 594.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.