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Finding the Fourth Proportional to 469.17, 647.40 and 435.66

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Solution

The fourth proportional to 469.17, 647.40 and 435.66 is: 601.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.17 : 647.40 = 435.66 : x
  2. Step 2: Convert to fraction form
    469.17/647.40 = 435.66/x
  3. Step 3: Cross multiply
    469.17x = 647.40 × 435.66
  4. Step 4: Simplify right side
    469.17x = 282,046.28
  5. Step 5: Solve for x
    x = 282,046.28/469.17
  6. Step 6: Final answer
    x = 601.16

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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.