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Finding the Fourth Proportional to 529.82, 730.45 and 434.95

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Solution

The fourth proportional to 529.82, 730.45 and 434.95 is: 599.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.82 : 730.45 = 434.95 : x
  2. Step 2: Convert to fraction form
    529.82/730.45 = 434.95/x
  3. Step 3: Cross multiply
    529.82x = 730.45 × 434.95
  4. Step 4: Simplify right side
    529.82x = 317,709.23
  5. Step 5: Solve for x
    x = 317,709.23/529.82
  6. Step 6: Final answer
    x = 599.66

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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.