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Finding the Fourth Proportional to 970.54, 1,455.90 and 393.46

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Solution

The fourth proportional to 970.54, 1,455.90 and 393.46 is: 590.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    970.54 : 1,455.90 = 393.46 : x
  2. Step 2: Convert to fraction form
    970.54/1,455.90 = 393.46/x
  3. Step 3: Cross multiply
    970.54x = 1,455.90 × 393.46
  4. Step 4: Simplify right side
    970.54x = 572,838.41
  5. Step 5: Solve for x
    x = 572,838.41/970.54
  6. Step 6: Final answer
    x = 590.23

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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.