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Finding the Fourth Proportional to 970.02, 1,455.28 and 385.06

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Solution

The fourth proportional to 970.02, 1,455.28 and 385.06 is: 577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.02 : 1,455.28 = 385.06 : x
  2. Step 2: Convert to fraction form
    970.02/1,455.28 = 385.06/x
  3. Step 3: Cross multiply
    970.02x = 1,455.28 × 385.06
  4. Step 4: Simplify right side
    970.02x = 560,370.12
  5. Step 5: Solve for x
    x = 560,370.12/970.02
  6. Step 6: Final answer
    x = 577.69

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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.