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Finding the Fourth Proportional to 970.65, 1,456.56 and 385.55

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Solution

The fourth proportional to 970.65, 1,456.56 and 385.55 is: 578.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.65 : 1,456.56 = 385.55 : x
  2. Step 2: Convert to fraction form
    970.65/1,456.56 = 385.55/x
  3. Step 3: Cross multiply
    970.65x = 1,456.56 × 385.55
  4. Step 4: Simplify right side
    970.65x = 561,569.43
  5. Step 5: Solve for x
    x = 561,569.43/970.65
  6. Step 6: Final answer
    x = 578.55

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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.