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Finding the Fourth Proportional to 528.74, 792.33 and 471.07

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Solution

The fourth proportional to 528.74, 792.33 and 471.07 is: 705.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.74 : 792.33 = 471.07 : x
  2. Step 2: Convert to fraction form
    528.74/792.33 = 471.07/x
  3. Step 3: Cross multiply
    528.74x = 792.33 × 471.07
  4. Step 4: Simplify right side
    528.74x = 373,242.89
  5. Step 5: Solve for x
    x = 373,242.89/528.74
  6. Step 6: Final answer
    x = 705.91

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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.