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Finding the Fourth Proportional to 296.48, 442.40 and 264.08

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Solution

The fourth proportional to 296.48, 442.40 and 264.08 is: 394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.48 : 442.40 = 264.08 : x
  2. Step 2: Convert to fraction form
    296.48/442.40 = 264.08/x
  3. Step 3: Cross multiply
    296.48x = 442.40 × 264.08
  4. Step 4: Simplify right side
    296.48x = 116,828.99
  5. Step 5: Solve for x
    x = 116,828.99/296.48
  6. Step 6: Final answer
    x = 394.05

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