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Finding the Fourth Proportional to 295.64, 442.30 and 214.28

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Solution

The fourth proportional to 295.64, 442.30 and 214.28 is: 320.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.64 : 442.30 = 214.28 : x
  2. Step 2: Convert to fraction form
    295.64/442.30 = 214.28/x
  3. Step 3: Cross multiply
    295.64x = 442.30 × 214.28
  4. Step 4: Simplify right side
    295.64x = 94,776.04
  5. Step 5: Solve for x
    x = 94,776.04/295.64
  6. Step 6: Final answer
    x = 320.58

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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.