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Finding the Fourth Proportional to 970.90, 1,456.23 and 385.72

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Solution

The fourth proportional to 970.90, 1,456.23 and 385.72 is: 578.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.90 : 1,456.23 = 385.72 : x
  2. Step 2: Convert to fraction form
    970.90/1,456.23 = 385.72/x
  3. Step 3: Cross multiply
    970.90x = 1,456.23 × 385.72
  4. Step 4: Simplify right side
    970.90x = 561,697.04
  5. Step 5: Solve for x
    x = 561,697.04/970.90
  6. Step 6: Final answer
    x = 578.53

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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.