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Finding the Fourth Proportional to 585.45, 805.98 and 507.78

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Solution

The fourth proportional to 585.45, 805.98 and 507.78 is: 699.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.45 : 805.98 = 507.78 : x
  2. Step 2: Convert to fraction form
    585.45/805.98 = 507.78/x
  3. Step 3: Cross multiply
    585.45x = 805.98 × 507.78
  4. Step 4: Simplify right side
    585.45x = 409,260.52
  5. Step 5: Solve for x
    x = 409,260.52/585.45
  6. Step 6: Final answer
    x = 699.05

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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.