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Finding the Fourth Proportional to 582.16, 804.66 and 511.70

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Solution

The fourth proportional to 582.16, 804.66 and 511.70 is: 707.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.16 : 804.66 = 511.70 : x
  2. Step 2: Convert to fraction form
    582.16/804.66 = 511.70/x
  3. Step 3: Cross multiply
    582.16x = 804.66 × 511.70
  4. Step 4: Simplify right side
    582.16x = 411,744.52
  5. Step 5: Solve for x
    x = 411,744.52/582.16
  6. Step 6: Final answer
    x = 707.27

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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.