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Finding the Fourth Proportional to 582.71, 804.14 and 434

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Solution

The fourth proportional to 582.71, 804.14 and 434 is: 598.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.71 : 804.14 = 434 : x
  2. Step 2: Convert to fraction form
    582.71/804.14 = 434/x
  3. Step 3: Cross multiply
    582.71x = 804.14 × 434
  4. Step 4: Simplify right side
    582.71x = 348,994.59
  5. Step 5: Solve for x
    x = 348,994.59/582.71
  6. Step 6: Final answer
    x = 598.91

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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.