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Finding the Fourth Proportional to 584.40, 818.70 and 584.40

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Solution

The fourth proportional to 584.40, 818.70 and 584.40 is: 818.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.40 : 818.70 = 584.40 : x
  2. Step 2: Convert to fraction form
    584.40/818.70 = 584.40/x
  3. Step 3: Cross multiply
    584.40x = 818.70 × 584.40
  4. Step 4: Simplify right side
    584.40x = 478,448.28
  5. Step 5: Solve for x
    x = 478,448.28/584.40
  6. Step 6: Final answer
    x = 818.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.