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Finding the Fourth Proportional to 652.32, 973.44 and 579.60

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Solution

The fourth proportional to 652.32, 973.44 and 579.60 is: 864.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.32 : 973.44 = 579.60 : x
  2. Step 2: Convert to fraction form
    652.32/973.44 = 579.60/x
  3. Step 3: Cross multiply
    652.32x = 973.44 × 579.60
  4. Step 4: Simplify right side
    652.32x = 564,205.82
  5. Step 5: Solve for x
    x = 564,205.82/652.32
  6. Step 6: Final answer
    x = 864.92

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.