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Finding the Fourth Proportional to 526.61, 725.31 and 456.67

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Solution

The fourth proportional to 526.61, 725.31 and 456.67 is: 628.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.61 : 725.31 = 456.67 : x
  2. Step 2: Convert to fraction form
    526.61/725.31 = 456.67/x
  3. Step 3: Cross multiply
    526.61x = 725.31 × 456.67
  4. Step 4: Simplify right side
    526.61x = 331,228.22
  5. Step 5: Solve for x
    x = 331,228.22/526.61
  6. Step 6: Final answer
    x = 628.98

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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.