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Finding the Fourth Proportional to 526.07, 788.15 and 309.53

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Solution

The fourth proportional to 526.07, 788.15 and 309.53 is: 463.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.07 : 788.15 = 309.53 : x
  2. Step 2: Convert to fraction form
    526.07/788.15 = 309.53/x
  3. Step 3: Cross multiply
    526.07x = 788.15 × 309.53
  4. Step 4: Simplify right side
    526.07x = 243,952.90
  5. Step 5: Solve for x
    x = 243,952.90/526.07
  6. Step 6: Final answer
    x = 463.73

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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.