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Finding the Fourth Proportional to 972.52, 1,457.84 and 355.74

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Solution

The fourth proportional to 972.52, 1,457.84 and 355.74 is: 533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.52 : 1,457.84 = 355.74 : x
  2. Step 2: Convert to fraction form
    972.52/1,457.84 = 355.74/x
  3. Step 3: Cross multiply
    972.52x = 1,457.84 × 355.74
  4. Step 4: Simplify right side
    972.52x = 518,612.00
  5. Step 5: Solve for x
    x = 518,612.00/972.52
  6. Step 6: Final answer
    x = 533.27

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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.