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Finding the Fourth Proportional to 565, 780.12 and 418

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Solution

The fourth proportional to 565, 780.12 and 418 is: 577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    565 : 780.12 = 418 : x
  2. Step 2: Convert to fraction form
    565/780.12 = 418/x
  3. Step 3: Cross multiply
    565x = 780.12 × 418
  4. Step 4: Simplify right side
    565x = 326,090.16
  5. Step 5: Solve for x
    x = 326,090.16/565
  6. Step 6: Final answer
    x = 577.15

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Why These Related Problems?

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