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Finding the Fourth Proportional to 931.46, 1,395.75 and 354.02

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Solution

The fourth proportional to 931.46, 1,395.75 and 354.02 is: 530.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.46 : 1,395.75 = 354.02 : x
  2. Step 2: Convert to fraction form
    931.46/1,395.75 = 354.02/x
  3. Step 3: Cross multiply
    931.46x = 1,395.75 × 354.02
  4. Step 4: Simplify right side
    931.46x = 494,123.42
  5. Step 5: Solve for x
    x = 494,123.42/931.46
  6. Step 6: Final answer
    x = 530.48

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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.