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Finding the Fourth Proportional to 646.02, 891.40 and 380.48

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Solution

The fourth proportional to 646.02, 891.40 and 380.48 is: 525.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    646.02 : 891.40 = 380.48 : x
  2. Step 2: Convert to fraction form
    646.02/891.40 = 380.48/x
  3. Step 3: Cross multiply
    646.02x = 891.40 × 380.48
  4. Step 4: Simplify right side
    646.02x = 339,159.87
  5. Step 5: Solve for x
    x = 339,159.87/646.02
  6. Step 6: Final answer
    x = 525.00

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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.