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Finding the Fourth Proportional to 431.60, 646.60 and 385.44

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Solution

The fourth proportional to 431.60, 646.60 and 385.44 is: 577.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.60 : 646.60 = 385.44 : x
  2. Step 2: Convert to fraction form
    431.60/646.60 = 385.44/x
  3. Step 3: Cross multiply
    431.60x = 646.60 × 385.44
  4. Step 4: Simplify right side
    431.60x = 249,225.50
  5. Step 5: Solve for x
    x = 249,225.50/431.60
  6. Step 6: Final answer
    x = 577.45

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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.