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Finding the Fourth Proportional to 924.84, 1,386.52 and 347.60

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Solution

The fourth proportional to 924.84, 1,386.52 and 347.60 is: 521.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.84 : 1,386.52 = 347.60 : x
  2. Step 2: Convert to fraction form
    924.84/1,386.52 = 347.60/x
  3. Step 3: Cross multiply
    924.84x = 1,386.52 × 347.60
  4. Step 4: Simplify right side
    924.84x = 481,954.35
  5. Step 5: Solve for x
    x = 481,954.35/924.84
  6. Step 6: Final answer
    x = 521.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.