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Finding the Fourth Proportional to 972.11, 1,457.76 and 355.84

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Solution

The fourth proportional to 972.11, 1,457.76 and 355.84 is: 533.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.11 : 1,457.76 = 355.84 : x
  2. Step 2: Convert to fraction form
    972.11/1,457.76 = 355.84/x
  3. Step 3: Cross multiply
    972.11x = 1,457.76 × 355.84
  4. Step 4: Simplify right side
    972.11x = 518,729.32
  5. Step 5: Solve for x
    x = 518,729.32/972.11
  6. Step 6: Final answer
    x = 533.61

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Why These Related Problems?

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