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Finding the Fourth Proportional to 296.66, 442.86 and 264.26

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Solution

The fourth proportional to 296.66, 442.86 and 264.26 is: 394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.66 : 442.86 = 264.26 : x
  2. Step 2: Convert to fraction form
    296.66/442.86 = 264.26/x
  3. Step 3: Cross multiply
    296.66x = 442.86 × 264.26
  4. Step 4: Simplify right side
    296.66x = 117,030.18
  5. Step 5: Solve for x
    x = 117,030.18/296.66
  6. Step 6: Final answer
    x = 394.49

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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.