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Finding the Fourth Proportional to 469.40, 647.76 and 259.59

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Solution

The fourth proportional to 469.40, 647.76 and 259.59 is: 358.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.40 : 647.76 = 259.59 : x
  2. Step 2: Convert to fraction form
    469.40/647.76 = 259.59/x
  3. Step 3: Cross multiply
    469.40x = 647.76 × 259.59
  4. Step 4: Simplify right side
    469.40x = 168,152.02
  5. Step 5: Solve for x
    x = 168,152.02/469.40
  6. Step 6: Final answer
    x = 358.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.