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Finding the Fourth Proportional to 970.33, 1,455.65 and 354.10

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Solution

The fourth proportional to 970.33, 1,455.65 and 354.10 is: 531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.33 : 1,455.65 = 354.10 : x
  2. Step 2: Convert to fraction form
    970.33/1,455.65 = 354.10/x
  3. Step 3: Cross multiply
    970.33x = 1,455.65 × 354.10
  4. Step 4: Simplify right side
    970.33x = 515,445.67
  5. Step 5: Solve for x
    x = 515,445.67/970.33
  6. Step 6: Final answer
    x = 531.21

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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.