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Finding the Fourth Proportional to 478.60, 659.72 and 378.34

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Solution

The fourth proportional to 478.60, 659.72 and 378.34 is: 521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    478.60 : 659.72 = 378.34 : x
  2. Step 2: Convert to fraction form
    478.60/659.72 = 378.34/x
  3. Step 3: Cross multiply
    478.60x = 659.72 × 378.34
  4. Step 4: Simplify right side
    478.60x = 249,598.46
  5. Step 5: Solve for x
    x = 249,598.46/478.60
  6. Step 6: Final answer
    x = 521.52

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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.