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Finding the Fourth Proportional to 569.64, 856.02 and 295.95

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Solution

The fourth proportional to 569.64, 856.02 and 295.95 is: 444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    569.64 : 856.02 = 295.95 : x
  2. Step 2: Convert to fraction form
    569.64/856.02 = 295.95/x
  3. Step 3: Cross multiply
    569.64x = 856.02 × 295.95
  4. Step 4: Simplify right side
    569.64x = 253,339.12
  5. Step 5: Solve for x
    x = 253,339.12/569.64
  6. Step 6: Final answer
    x = 444.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.