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Finding the Fourth Proportional to 525.32, 725.25 and 466.93

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Solution

The fourth proportional to 525.32, 725.25 and 466.93 is: 644.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.32 : 725.25 = 466.93 : x
  2. Step 2: Convert to fraction form
    525.32/725.25 = 466.93/x
  3. Step 3: Cross multiply
    525.32x = 725.25 × 466.93
  4. Step 4: Simplify right side
    525.32x = 338,638.91
  5. Step 5: Solve for x
    x = 338,638.91/525.32
  6. Step 6: Final answer
    x = 644.64

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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.