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Finding the Fourth Proportional to 810.12, 1,215.06 and 297

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Solution

The fourth proportional to 810.12, 1,215.06 and 297 is: 445.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.12 : 1,215.06 = 297 : x
  2. Step 2: Convert to fraction form
    810.12/1,215.06 = 297/x
  3. Step 3: Cross multiply
    810.12x = 1,215.06 × 297
  4. Step 4: Simplify right side
    810.12x = 360,872.82
  5. Step 5: Solve for x
    x = 360,872.82/810.12
  6. Step 6: Final answer
    x = 445.46

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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.