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Finding the Fourth Proportional to 584.40, 873.12 and 400.24

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Solution

The fourth proportional to 584.40, 873.12 and 400.24 is: 597.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.40 : 873.12 = 400.24 : x
  2. Step 2: Convert to fraction form
    584.40/873.12 = 400.24/x
  3. Step 3: Cross multiply
    584.40x = 873.12 × 400.24
  4. Step 4: Simplify right side
    584.40x = 349,457.55
  5. Step 5: Solve for x
    x = 349,457.55/584.40
  6. Step 6: Final answer
    x = 597.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.