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Finding the Fourth Proportional to 594.68, 893.82 and 473

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Solution

The fourth proportional to 594.68, 893.82 and 473 is: 710.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    594.68 : 893.82 = 473 : x
  2. Step 2: Convert to fraction form
    594.68/893.82 = 473/x
  3. Step 3: Cross multiply
    594.68x = 893.82 × 473
  4. Step 4: Simplify right side
    594.68x = 422,776.86
  5. Step 5: Solve for x
    x = 422,776.86/594.68
  6. Step 6: Final answer
    x = 710.93

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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.