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Finding the Fourth Proportional to 526.06, 725.88 and 316.19

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Solution

The fourth proportional to 526.06, 725.88 and 316.19 is: 436.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.06 : 725.88 = 316.19 : x
  2. Step 2: Convert to fraction form
    526.06/725.88 = 316.19/x
  3. Step 3: Cross multiply
    526.06x = 725.88 × 316.19
  4. Step 4: Simplify right side
    526.06x = 229,514.71
  5. Step 5: Solve for x
    x = 229,514.71/526.06
  6. Step 6: Final answer
    x = 436.29

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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.