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Finding the Fourth Proportional to 972.02, 1,457.89 and 355.75

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Solution

The fourth proportional to 972.02, 1,457.89 and 355.75 is: 533.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    972.02 : 1,457.89 = 355.75 : x
  2. Step 2: Convert to fraction form
    972.02/1,457.89 = 355.75/x
  3. Step 3: Cross multiply
    972.02x = 1,457.89 × 355.75
  4. Step 4: Simplify right side
    972.02x = 518,644.37
  5. Step 5: Solve for x
    x = 518,644.37/972.02
  6. Step 6: Final answer
    x = 533.57

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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.