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Finding the Fourth Proportional to 620.98, 933.15 and 458.14

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Solution

The fourth proportional to 620.98, 933.15 and 458.14 is: 688.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.98 : 933.15 = 458.14 : x
  2. Step 2: Convert to fraction form
    620.98/933.15 = 458.14/x
  3. Step 3: Cross multiply
    620.98x = 933.15 × 458.14
  4. Step 4: Simplify right side
    620.98x = 427,513.34
  5. Step 5: Solve for x
    x = 427,513.34/620.98
  6. Step 6: Final answer
    x = 688.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.