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Finding the Fourth Proportional to 598.25, 824.88 and 554.51

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Solution

The fourth proportional to 598.25, 824.88 and 554.51 is: 764.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    598.25 : 824.88 = 554.51 : x
  2. Step 2: Convert to fraction form
    598.25/824.88 = 554.51/x
  3. Step 3: Cross multiply
    598.25x = 824.88 × 554.51
  4. Step 4: Simplify right side
    598.25x = 457,408.35
  5. Step 5: Solve for x
    x = 457,408.35/598.25
  6. Step 6: Final answer
    x = 764.57

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1.5x scale

Why These Related Problems?

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