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Finding the Fourth Proportional to 972.37, 1,457.26 and 355.50

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Solution

The fourth proportional to 972.37, 1,457.26 and 355.50 is: 532.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.37 : 1,457.26 = 355.50 : x
  2. Step 2: Convert to fraction form
    972.37/1,457.26 = 355.50/x
  3. Step 3: Cross multiply
    972.37x = 1,457.26 × 355.50
  4. Step 4: Simplify right side
    972.37x = 518,055.93
  5. Step 5: Solve for x
    x = 518,055.93/972.37
  6. Step 6: Final answer
    x = 532.78

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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.