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Finding the Fourth Proportional to 531.63, 795.45 and 477.68

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Solution

The fourth proportional to 531.63, 795.45 and 477.68 is: 714.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.63 : 795.45 = 477.68 : x
  2. Step 2: Convert to fraction form
    531.63/795.45 = 477.68/x
  3. Step 3: Cross multiply
    531.63x = 795.45 × 477.68
  4. Step 4: Simplify right side
    531.63x = 379,966.58
  5. Step 5: Solve for x
    x = 379,966.58/531.63
  6. Step 6: Final answer
    x = 714.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.