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Finding the Fourth Proportional to 924.51, 1,386.68 and 308.15

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Solution

The fourth proportional to 924.51, 1,386.68 and 308.15 is: 462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.51 : 1,386.68 = 308.15 : x
  2. Step 2: Convert to fraction form
    924.51/1,386.68 = 308.15/x
  3. Step 3: Cross multiply
    924.51x = 1,386.68 × 308.15
  4. Step 4: Simplify right side
    924.51x = 427,307.37
  5. Step 5: Solve for x
    x = 427,307.37/924.51
  6. Step 6: Final answer
    x = 462.20

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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.