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Finding the Fourth Proportional to 589.40, 883.20 and 497.60

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Solution

The fourth proportional to 589.40, 883.20 and 497.60 is: 745.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    589.40 : 883.20 = 497.60 : x
  2. Step 2: Convert to fraction form
    589.40/883.20 = 497.60/x
  3. Step 3: Cross multiply
    589.40x = 883.20 × 497.60
  4. Step 4: Simplify right side
    589.40x = 439,480.32
  5. Step 5: Solve for x
    x = 439,480.32/589.40
  6. Step 6: Final answer
    x = 745.64

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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.