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Finding the Fourth Proportional to 582.62, 805.01 and 471.89

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Solution

The fourth proportional to 582.62, 805.01 and 471.89 is: 652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.62 : 805.01 = 471.89 : x
  2. Step 2: Convert to fraction form
    582.62/805.01 = 471.89/x
  3. Step 3: Cross multiply
    582.62x = 805.01 × 471.89
  4. Step 4: Simplify right side
    582.62x = 379,875.82
  5. Step 5: Solve for x
    x = 379,875.82/582.62
  6. Step 6: Final answer
    x = 652.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.