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Finding the Fourth Proportional to 457.84, 690.82 and 437.86

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Solution

The fourth proportional to 457.84, 690.82 and 437.86 is: 660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.84 : 690.82 = 437.86 : x
  2. Step 2: Convert to fraction form
    457.84/690.82 = 437.86/x
  3. Step 3: Cross multiply
    457.84x = 690.82 × 437.86
  4. Step 4: Simplify right side
    457.84x = 302,482.45
  5. Step 5: Solve for x
    x = 302,482.45/457.84
  6. Step 6: Final answer
    x = 660.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.