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Finding the Fourth Proportional to 592.63, 886.47 and 495.16

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Solution

The fourth proportional to 592.63, 886.47 and 495.16 is: 740.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.63 : 886.47 = 495.16 : x
  2. Step 2: Convert to fraction form
    592.63/886.47 = 495.16/x
  3. Step 3: Cross multiply
    592.63x = 886.47 × 495.16
  4. Step 4: Simplify right side
    592.63x = 438,944.49
  5. Step 5: Solve for x
    x = 438,944.49/592.63
  6. Step 6: Final answer
    x = 740.67

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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.