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Finding the Fourth Proportional to 459.84, 693.29 and 428.52

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Solution

The fourth proportional to 459.84, 693.29 and 428.52 is: 646.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.84 : 693.29 = 428.52 : x
  2. Step 2: Convert to fraction form
    459.84/693.29 = 428.52/x
  3. Step 3: Cross multiply
    459.84x = 693.29 × 428.52
  4. Step 4: Simplify right side
    459.84x = 297,088.63
  5. Step 5: Solve for x
    x = 297,088.63/459.84
  6. Step 6: Final answer
    x = 646.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.