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Finding the Fourth Proportional to 624.02, 928.37 and 587.10

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Solution

The fourth proportional to 624.02, 928.37 and 587.10 is: 873.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.02 : 928.37 = 587.10 : x
  2. Step 2: Convert to fraction form
    624.02/928.37 = 587.10/x
  3. Step 3: Cross multiply
    624.02x = 928.37 × 587.10
  4. Step 4: Simplify right side
    624.02x = 545,043.09
  5. Step 5: Solve for x
    x = 545,043.09/624.02
  6. Step 6: Final answer
    x = 873.45

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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.