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Finding the Fourth Proportional to 469.68, 703.62 and 354.87

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Solution

The fourth proportional to 469.68, 703.62 and 354.87 is: 531.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.68 : 703.62 = 354.87 : x
  2. Step 2: Convert to fraction form
    469.68/703.62 = 354.87/x
  3. Step 3: Cross multiply
    469.68x = 703.62 × 354.87
  4. Step 4: Simplify right side
    469.68x = 249,693.63
  5. Step 5: Solve for x
    x = 249,693.63/469.68
  6. Step 6: Final answer
    x = 531.62

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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.