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Finding the Fourth Proportional to 567.65, 783.42 and 319

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Solution

The fourth proportional to 567.65, 783.42 and 319 is: 440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.65 : 783.42 = 319 : x
  2. Step 2: Convert to fraction form
    567.65/783.42 = 319/x
  3. Step 3: Cross multiply
    567.65x = 783.42 × 319
  4. Step 4: Simplify right side
    567.65x = 249,910.98
  5. Step 5: Solve for x
    x = 249,910.98/567.65
  6. Step 6: Final answer
    x = 440.26

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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.