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Finding the Fourth Proportional to 459.95, 685.19 and 432

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Solution

The fourth proportional to 459.95, 685.19 and 432 is: 643.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.95 : 685.19 = 432 : x
  2. Step 2: Convert to fraction form
    459.95/685.19 = 432/x
  3. Step 3: Cross multiply
    459.95x = 685.19 × 432
  4. Step 4: Simplify right side
    459.95x = 296,003.16
  5. Step 5: Solve for x
    x = 296,003.16/459.95
  6. Step 6: Final answer
    x = 643.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.