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Finding the Fourth Proportional to 567.34, 782.95 and 318.65

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Solution

The fourth proportional to 567.34, 782.95 and 318.65 is: 439.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.34 : 782.95 = 318.65 : x
  2. Step 2: Convert to fraction form
    567.34/782.95 = 318.65/x
  3. Step 3: Cross multiply
    567.34x = 782.95 × 318.65
  4. Step 4: Simplify right side
    567.34x = 249,482.31
  5. Step 5: Solve for x
    x = 249,482.31/567.34
  6. Step 6: Final answer
    x = 439.74

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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.