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Finding the Fourth Proportional to 295.17, 441.01 and 284.95

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Solution

The fourth proportional to 295.17, 441.01 and 284.95 is: 425.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.17 : 441.01 = 284.95 : x
  2. Step 2: Convert to fraction form
    295.17/441.01 = 284.95/x
  3. Step 3: Cross multiply
    295.17x = 441.01 × 284.95
  4. Step 4: Simplify right side
    295.17x = 125,666.71
  5. Step 5: Solve for x
    x = 125,666.71/295.17
  6. Step 6: Final answer
    x = 425.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.