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Finding the Fourth Proportional to 595.83, 894.96 and 458.40

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Solution

The fourth proportional to 595.83, 894.96 and 458.40 is: 688.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    595.83 : 894.96 = 458.40 : x
  2. Step 2: Convert to fraction form
    595.83/894.96 = 458.40/x
  3. Step 3: Cross multiply
    595.83x = 894.96 × 458.40
  4. Step 4: Simplify right side
    595.83x = 410,249.66
  5. Step 5: Solve for x
    x = 410,249.66/595.83
  6. Step 6: Final answer
    x = 688.53

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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.