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Finding the Fourth Proportional to 359.94, 497.24 and 278.03

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Solution

The fourth proportional to 359.94, 497.24 and 278.03 is: 384.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.94 : 497.24 = 278.03 : x
  2. Step 2: Convert to fraction form
    359.94/497.24 = 278.03/x
  3. Step 3: Cross multiply
    359.94x = 497.24 × 278.03
  4. Step 4: Simplify right side
    359.94x = 138,248.53
  5. Step 5: Solve for x
    x = 138,248.53/359.94
  6. Step 6: Final answer
    x = 384.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.