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Finding the Fourth Proportional to 810.58, 1,215 and 348.56

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Solution

The fourth proportional to 810.58, 1,215 and 348.56 is: 522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.58 : 1,215 = 348.56 : x
  2. Step 2: Convert to fraction form
    810.58/1,215 = 348.56/x
  3. Step 3: Cross multiply
    810.58x = 1,215 × 348.56
  4. Step 4: Simplify right side
    810.58x = 423,500.40
  5. Step 5: Solve for x
    x = 423,500.40/810.58
  6. Step 6: Final answer
    x = 522.47

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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.