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Finding the Fourth Proportional to 529.45, 730.65 and 290.19

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Solution

The fourth proportional to 529.45, 730.65 and 290.19 is: 400.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.45 : 730.65 = 290.19 : x
  2. Step 2: Convert to fraction form
    529.45/730.65 = 290.19/x
  3. Step 3: Cross multiply
    529.45x = 730.65 × 290.19
  4. Step 4: Simplify right side
    529.45x = 212,027.32
  5. Step 5: Solve for x
    x = 212,027.32/529.45
  6. Step 6: Final answer
    x = 400.47

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1.5x scale

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.