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Finding the Fourth Proportional to 555.04, 831.66 and 457.84

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Solution

The fourth proportional to 555.04, 831.66 and 457.84 is: 686.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    555.04 : 831.66 = 457.84 : x
  2. Step 2: Convert to fraction form
    555.04/831.66 = 457.84/x
  3. Step 3: Cross multiply
    555.04x = 831.66 × 457.84
  4. Step 4: Simplify right side
    555.04x = 380,767.21
  5. Step 5: Solve for x
    x = 380,767.21/555.04
  6. Step 6: Final answer
    x = 686.02

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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.