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Finding the Fourth Proportional to 521.75, 720.01 and 312.08

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Solution

The fourth proportional to 521.75, 720.01 and 312.08 is: 430.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.75 : 720.01 = 312.08 : x
  2. Step 2: Convert to fraction form
    521.75/720.01 = 312.08/x
  3. Step 3: Cross multiply
    521.75x = 720.01 × 312.08
  4. Step 4: Simplify right side
    521.75x = 224,701.74
  5. Step 5: Solve for x
    x = 224,701.74/521.75
  6. Step 6: Final answer
    x = 430.67

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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.