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Finding the Fourth Proportional to 505.65, 696.27 and 458.74

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Solution

The fourth proportional to 505.65, 696.27 and 458.74 is: 631.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.65 : 696.27 = 458.74 : x
  2. Step 2: Convert to fraction form
    505.65/696.27 = 458.74/x
  3. Step 3: Cross multiply
    505.65x = 696.27 × 458.74
  4. Step 4: Simplify right side
    505.65x = 319,406.24
  5. Step 5: Solve for x
    x = 319,406.24/505.65
  6. Step 6: Final answer
    x = 631.67

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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.