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Finding the Fourth Proportional to 646.02, 889.86 and 546.30

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Solution

The fourth proportional to 646.02, 889.86 and 546.30 is: 752.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.02 : 889.86 = 546.30 : x
  2. Step 2: Convert to fraction form
    646.02/889.86 = 546.30/x
  3. Step 3: Cross multiply
    646.02x = 889.86 × 546.30
  4. Step 4: Simplify right side
    646.02x = 486,130.52
  5. Step 5: Solve for x
    x = 486,130.52/646.02
  6. Step 6: Final answer
    x = 752.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.